# 5cm is one side of base height is 4cm base has 4 sides shape is a prism find lateral area and volume

173,607 results

### Geometry

5cm is one side of base height is 4cm base has 4 sides shape is a prism find lateral area and volume

### math

thanks anyone! A right prism has a polygonal base with n sides. Each side has a length of 5 in. The altitude of the prism is 20 in. If the base had n+1 sides, each still having a side of length 5 in, by how much, in square inches, would the lateral area of the prism increase ...

### geometry

For 1 through 10, what is the area and volume of the given shape, if the length of one side of the base is 6, the height is 8, and the slant height is 10? (Not all shapes will require all three numbers.) The shape is a right prism with: 1. an equilateral triangle as the base

### geometry

Can anyone help me to solve this, please? A right prism has a polygonal base with n sides. Each side has a length of 5 in. The altitude of the prism is 20 in. If the base had n+1 sides, each still having a side of length 5 in, by how much, in square inches, would the lateral ...

### geometry

The height of an equilateral triangular prism increases by one unit. The new lateral area is more than the original by how much? Answer the perimeter of the base the area of the base the height the area of one lateral face

### Geometry

How do you go about finding the lateral area of a trianglar prism? Ex: The base of a triangular prism is an equilateral triangle with a perimeter of 42 cm. If the height of the prism is 10 cm, find the lateral area. Thanks for the help in advance

### Geometry PLEASE HELP

1. If the surface area of a cube is 294 inches squared, find the volume. 2. If the base of a prism is an equilateral triangle with sides 8cm, and each lateral edge measures 10cm, what is the volume of the prism.

### Math

A rectangular solid has a base area of 43.3 sq inches and a height of 50 inches a triangular prism has a base in the shape of an equilateral triangle and a height of 50 inches. the volumes for both shapes are equal. find the side of the equilateral triangle for the base of the...

### math

Am confused. The bases of a prism are right triangles with side lengths 6 meters, 8 meters, and 10 meters. The height of the prism is 3 meters. What is the lateral area of the prism? What is the total surface area? L=Ph perimeter is side(1) +side(2)+side(3) 6+8+10=24 (3)=72m^2...

### maths

the base of a solid right prism is a triangle whose sides are 9cm, 12cm and 15cm. The height of the prism is 5cm. Then the total surface area of the prism is.

### maths

how many times greater is the surface area of a right square prism with dimensions 4cm by 4cm by 4cm than a right square pyramid with height cm and base side 4cm?

### Math

The base of the right prism is a rhombus with the side 7 cm. The altitude of the prism is h=13 cm. Find the lateral area of the prism.

### Grade 8 Geometry

to calculate volume you use the formula V= area of b.s.(base area) x h(height) - How can I tell what face is the "base shape", especially with a triangular prism?

### Algebra - volume

I can't draw the shape here, but the picture is of a 3-sided pyramid. One side of the base is 10", another side of the base is 3", and the height is 15". I need to find the volume and round to the nearest whole number.

### Algebra

Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224 m squared, find the length of the other base. The height dimension h is measure perpendicular to the to parallel "base" sides, a and b. The area is h*(a+b...

### Math ASAP

Height: 10 inches Base Perimeter: 40 inches Lateral Surface Area: 400 square inches (^^^this is the total surface area of the sides) What is the Surface Area of the triangular prism? (the picture of the shape looks like a pentagon but the rectangle is much longer)

### algebra 1

The formula for the volume, V, of a prism is V = Bh, where B equals the base area, and h is the height of the prism. What is the height of a prism with base area 21 cm2 and volume 84 cm3?

### geometry

Use formulas to find the lateral area and surface area of the given prism. The base of the prism is the rectangle with sides of length 13m and 5m. Show your answer to the nearest whole number.

### geo

I need to find the the height of the prism, the volume of the prism, and the area of the base. The front has a measurement of 8 cm and the line on the side has 19 cm. can you please help me.

### Math - Literal Equations

Please help me with the following: The volume of a prism is found by multiplying the area of the base by the height. A rectangular prism has a volume of 144cm^3, and a square base with a width of 3 cm. What is the height of the prism, in cm? A. 4 B. 8 C. 48\ ......--Both of ...

### Math

An inverted right cone, half filled with water. I've only the volume of the entire cone to go from. So the volume of the cone = 1/3 the base area * height I've been told by a friend that the base area of a half scale cone = 1/4 of the larger cones base area; with the height ...

### math

The base of a triangular prism is a right triangle whose legs are 7cm and 24 cm. The height of the prism is 30cm. What is lateral area of prism?

### Goemetry

A prism has an equilateral triangle for its base. One side of the base measures 12 ft and the altitude of the prism is 6 ft. Find the volume.

### surface area & volume

How can I find the surface area and volume of a hexagonal prism if I don't know the height, only apothem and one side of the base? Thank you!

### Algebra!!

1)volume of a ctlinder: 198mm Radius base: ?? Height of cylinder: 7mm 2)Volume of a triangular prism:60 cu yd Length of base: ?? Height of base: 6m Height of prism: 2m

### Geometry

The base of the prism is a rectangle with sides 13 m and 5 m in length. Find the lateral surface and surface area of the given prism.

### math

1. find the lateral area of a right prism whose altitude measures 20 cm and whose base is a square with a width 7 cm long. 2. the volume of a rectangular solid is 5376 cubic meters, and the base is 24 meters by 16 meters. find the height of the solid. 3. a rectangle has a ...

### Math

The volume of a triangular prism is 12cubic cm .atriangular face has base b and height h. The length of the prism is l. Find possible values for b, h and l. Sketch one possible prism that has an isosceles triangle as its base.

### Math help, anyone?

Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm. 324 cm3 108 cm3 36 cm3 152 cm3 Find the volume of a cone with a radius of 10 mm and a height of 6 mm. 628 mm3 600 mm3 1,884 mm3 1,254 mm3 Find the lateral area of a cone with a radius of 7 ft...

### Math. please

Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm. 324 cm3 108 cm3 36 cm3 152 cm3 Find the volume of a cone with a radius of 10 mm and a height of 6 mm. 628 mm3 600 mm3 1,884 mm3 1,254 mm3 Find the lateral area of a cone with a radius of 7 ft...

### PreCal

A square sheet of cardboard 18 inches is made into an open box (there is no top), by cutting squares of equal size out of each corner and folding up the sides. Find the dimensions of the box with the maximun volume. Volume= base(width)height but base + 2H =18 base + 2W=18 ...

### Help Ms.Sue Please

1.Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for ð and round to the nearest tenth. 439.6 ft2 324.5 ft2 571.5 ft2 285.7 ft2 2.Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. 1056 cm2...

### Geometry

ABCA1B1C1 is a prism which has regular triangles in the bases. The side of the prism has the length "a". The side AA1 makes equal angles with the sides of the base AB and AC, these angles have the value "alfa". We know that AA1 has the length "b". I need to find out the height...

### geometry

the base of a right prism is a rhombus whose diagonals are 6 in and 8 in. The altitude of the prism measures 10 in. Find the lateral area and the total area of the prism.

### geo area & volume

ok it asks me 2 find the lateral area of the cylinder ( the radius is 5 n the hight is 5) can some 1 help me with this please 392.5 Prinness, I think that 392.5 is pi*r^2*h, or the volume of the cylinder. This question asks for the lateral area. Lateral area is the area of the...

### 11th grade

ABCA1B1C1 is a prism which has regular triangles in the bases. The side of the prism has the length "a". The side AA1 makes equal angles with the sides of the base AB and AC, these angles have the value "alfa". We know that AA1 has the length "b". I need to find out the height...

### math

the base of a solid right prism is a triangle whose sides are 9 cm,12cm,15cm. the height of the prism is 5 cm. then find the total surface area of the prism is?

### Geometry Help

Out of 60 review questions I struggled with these ones. Someone please help!! 1.) The length of one side of a regular polygon is half the length of a similar polygon. What is the ratio of their areas? a.)1/2 b.)1/4 c.)1 2.)A patchwork quilt is made up of two different sized ...

### maths

the base of a given triangular prism is a right angled triangle with AB=5cm,AC=12cm and the height of the prism =20cm. Angle A=90 degrees so calculate the surface area of the prism

### geometry

If a rectangular prism has a surface area of 198 square feet, a height of 6 feet and a lateral surface area of 144 square feet what is the base area of the prism? What is the volume of the prism?

### geometry please help!!!!

The base of a right prism is isosceles trapezoid with legs c=d = 5 cm, bases a=8 cm and b=14 cm, and altitude of the trapezoid k=4 cm. The height of the prism h=10 cm. Find: Lateral area

### MATH QUIZ PLS HELP!!!

1.Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for ©£ and round to the nearest tenth. 439.6 ft^2 324.5 ft^2 571.5 ft^2 285.7 ft^2*** 2.Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm...

### CALCULUS

The base of S is a circular disk with radius 3r. Parallel cross-sections perpendicular to the base are isosceles triangles with height 8h and unequal side in the base. a. set up an interval for volume of S b. by interpreting the intergal as an area, find the volume of S

### math

1.The base of a triangle is 5cm greater than the height. The area is 33cm(2). Find the height and the length of the base? Height? Base? 2. Factor X(2)-7x 3.Factor 5a(6)-1080a(3) 4. Find the GCF 5x(9),5x,-20= For this one I think the gcf is 5 Is this correct? 5. Factor by ...

### Mathematics

how to find the length of a triangular prism? when the volume is 1470cm cube the height is 10.5cm base 14cm

### Formulas

What is the volume of a pyramid if the area of its base is 64 cm2 The volume of any shape that comes to a point such as a pyramid or cone is 1/3 * area of the base * height. You did not give the height, so the volume can't be found. (we could say Vol = 1/3(64)h

### geometry

The base of a right triangular prism is a right isosceles triangle whose equal sides measure 25 cm. each. The volume of the prism is 7.5 cubic meters. Find the height of the prism.

### math/algebra

the base of a rectangular prism has an area of 15.3 square inches and a volume of 185.13 cubic inches. write an equation that can be used to find the height of the prism, then find then height of the prism. Please help, asap!!!!

### geometry

find the lateral area and the total surface area of the right prism if the base of the prism is a right triangle whole legs meausure 5in and 12 in . and the altitude of the prism measure 8 in.

### math

for a triangular prism, the areas of the lateral faces are 18in^2, 26in^2 and 34in^2. if the area of the base is 16in^2, find the total area of the prism.

### Geometry

The base of a right triangular prism is a right isosceles triangle whose equal sides measure 25 cm each. The volume of the prism is 0.075 cubic meters. Find the height of the prism

### Math

How do you find the height of a scalene triangle when the base and the two side lengths are different? The measurements are base - 12 cm one side - 8 cm the other side - 7 cm I need the height to find out the area

### geography need help please

I need to pass my finals tomorrow! pleas help me! its geometry? Does anyone know how to do any of these problems ? please help! 1- 3, 5, 7, 9... Generalize the pattern by finding the nth term. A) 3n B) 2n + 1 C) n + 2 D) (n + 1)(n + 2) 2- If the radius of a cylinder is doubled...

### Math

a) One mould forms a sculpture that is a composite object comprising a right cylinder with base diameter 15 in. and height 3 in., and a right cone with the same base diameter as the base of the cylinder and a height of 9 in. Determine the volume of the sculpture to the nearest...

### Solid mensuration

The bases of a triangular right prism are apart. find the volume and the total surface area of the prism if one side of the quilateral triangular base measures 6cm

### Math ASAP

Height: 10 inches Base Perimeter: 40 inches Lateral Surface Area: 400 square inches (^^^this is the total surface area of the sides) What is the Surface Area of the triangular prism?

### drbob222,math , algebra

Sorry i made a typo it suppost to read 20m for one base not 12. Directions: Crafts. Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 12m, and the area is 224m ^2, find the length of the other base. Area= 1/2 (12 + L)*16 solve for L.

### Geometry

A paperweight in the shape of a triangular prism has a height of 3 inches. its volume is 18 cubic inches. what is the area of the triangular base of the prism?

### Math

I need to find the surface area and volume of a right regular hexagonal prism. The height is 10cm and the sides of its base measure 18cm. You round to the nearest hundredth.

### algebra

The base of a triangle is 4cm greater than the height the area is 48cm^2 find the height and the length of the base

### maths

base perimeter of a triangular prism is 25 cm and its height is 40 cm .calculate its lateral surface area?

### math

WHAT IS THE LATERAL SURGACE AREA OF A RECTANGULAR PRISM WITH THE BASE PERIMETER OF 150 MM AND A HEIGHT OF 5 MM

### Solid Geometry

Find the Lateral area in cm square of the following right pryramid. 1. Base is regular octagon of side 20cm and altitude of 20cm. 2. Base is regular hexagon of side 20cm and altitude of 30cm. 3. Base is regular hexagon of side 30cm and slant height of 50cm.

### Math

What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and altitude to that side h= 6 cm.

### math

A rock is submerged in a rectangular prism whose base measures 9cm by 15 cm. If the water level rises from a height of 8cm to 12cm. What is the volume of the rock? What I did: V= area of base× height of prism L×W×h 9cm×15cm= 135 8cm×12cm= 96 (I'm not sure what I am ...

### geometry

How do you find the lateral area and surface area of a right prism whose height is 10 ft and whose base is a rombus with diagonals 12 ft and 12sq root of 3 ( DON'T KNOW HOW TO PUT SQROOT 3 IN)

### geometry

Find the lateral area and volume of the right triangular prism. side lengths are 3,4,5 and height is 6.How do I find out the apothem?

### EASY Volume of shapes

The right triangular prism has bases that are equilateral triangles. The height is 8 in and the side of the base is 5 in , what is the prism's volume?

### Math - Please Check My Answer - Probably Last One!

Please help me with the following: The volume of a cylinder is found using the formula V=πr^2h,where r is the radius of the base and h is the height. The volume of a rectangular prism of the same width (2r) and height h, as the cylinder, is found by multiplying the area ...

### Algebra

Volume of a triangular prism:1000 cu ft Length of base: ?? Height of base: 2ft Height of prism:40ft

### Algebra

How do you Find the lateral area of a square pyramid. base:8 Height:22. and side:8 Help pls

### Math

Hi, so I am supposed to calculate the volum of my prism as if it were a prism. I know I'm supposed to to do Volum=1/3* area of the base* height. But I get confused can you please help me. These are the measurements of my prism. Length=5cm Width=17cm Height=22cm. Please help me...

### Geometry

A right prism has bases that are squares. The area of one base is 81 square feet. The lateral area of the prism is 144 square feet. What is the altitude of the prism.

### Geometry HELP

The lateral surface area of a regular pyramid is 160 cm2 and the perimeter of the base is 40 cm. What is the slant height? a.) 4cm b.) 8cm c.) 10cm

### geometry

How do you find the lateral area and perimeter of a pentagonal pyramid? ex: The slant height of a regular pentagonal pyramid is 6 cm, and the length of each side of the base is 3 cm. Find the lateral area.

### math

A glass prism on a chandelier is 75mm long. A base of the prism is an equilateral triangle with side lengths of 9mm and a height of about 7.8 mm. What is approximate surface area of prism?

### geometry

I have a question: My textbook says "The surface of a right prism is 224 sq. feet, and the length of a side of the square base is one-third the height. What are the dimensions of the prism?" How do I find out the dimensions when I don't know the height or the length of the ...

### geometry

Use formulas to find the lateral area and surface area of the given prism round to nearest whole number Believe height 4m and base on side 7m, front 29m, other end 7.28m possible answers; 472m^2;486m^2 443m62;486m^2 472m62;479m^2 443m62;500m^2 Can someone possibly help me

### math

The base of a triangle is 5cm greater than the height. The area is 52cm^2. Find the height and length of the base.

### geometry

Find the lateral area of a right triangular prism with an equilateralbase length of 5cm and height of 10cm.

### geometry

How do you find the lateral and surface area of a right triangular right prism. Base 8in by 6in by 10in and height 9 in.

### geometry

a circular cylinder has a base with a radius of 7.5 cm. and a height of 12 cm. a rectangular prism has a square base and height of 8.0 cm. if the cylinder and the prism have equal volumes, what is the length of the base of the prism to the nearest tenth?

### math

Surface area of a composite object. A cone with a slant height of 8.9cm and a radius of 4cm. The cones base is attached on top of a rectangular prism whose length is 41cm, width is 20cm and height is 40cm. It is attached with a hemisphere whose radius is 4cm. Find the surface ...

### math

A storage unit in the shape of a rectangular prism has a volume of 72 ft3. The area of the base of the unit is 18 ft2. What is the volume of a similar unit whose height is 8 ft?

### math

A storage unit in the shape of a rectangular prism has a volume of 72 ft3. The area of the base of the unit is 18 ft2. What is the volume of a similar unit whose height is 8 ft?

### math

THE VOLUME OF A RECTANGULAR PRISM IS 140 CUBIC FT. THE LENGTH OF THE BASE IS 7FT AND THE WIDTH OF THE BASE IS 4FT. WHAT IS THE HEIGHT OF THE PRISM?

### math

The base of a prism is a right angled triangle with its two shorter sides are equal to 4cm and 8cm.The prism is 10cm long.

### witbank high

a rectangular prism with a square base of five cm length and height of two cm. What is the area of the base of the prism.

### geometry

You have looked at it two times before. There are 30 questions worth 30 points. Part 1 Multiple Choice: Select the best answer from the choices provided. (Each question is worth one point) 1. Determine how many wheels are turning clockwise. 1 2 none 2. Determine how many ...

### Maths

What is surface area and how do you work it out? Surface area is the area on an object. How one works it is dependent on the object. SURFACE IS THE AREA OF ANY OBJECT. AND HOW IT WORKS IS IF YOU HAVE A SQUARE AND YOU WANT TO FIND THE PERIMITIER THEN YOU HAVE TO MAKE ALL SIDES ...

### Pre Calculus

1. A rectangular box has a square base, four sides, but no top. It has a volume of 20 cubic feet. Let A be the surface area of the box, and L the length of one side of the base. (a) The volume is measured in cubic feet. What units are convenient to use for the area A and the ...

### math

a right rectangle and a right triangle prism have the same height. If the lenght of the side of the rectangle base is twice the width, explain how to determine the area of the triangular base in terms of the rectangle base length.

### math

A right rectangle and a right triangle prism have the same height. If the lenght of the side of the rectangle base is twice the width, explain how to determine the area of the triangular base in terms of the rectangle base length.

### GEOMETRY LATERAL AND SURFACE URGENT (PLEASEHELP)

1.A RECTANGULAR BOX IS TO BE PAINTED ON ALL ITS SIDES. IF THE BOX IS 15 DM LONG, 12 DM WIDE AND 6 DM HIGH. HOW MUCH SURFACE IS TO BE PAINTED ? 2. IF EACH SIDE OF AN OPEN CUBICLE BOX IS 2X+3 CM. FIND ITS TOTAL SURFACE AREA. 3. MICHEAL IS TO MAKE A BOX IN THE FORM OF A ...

### MATH

How do you find the base area of a rectangular prism if you know the volume and the height

### Algebra - area

I hope I can explain this. I can't draw the shape here, but it is a triangular prism that looks like a wedge of cheese. The height is 20 cm and the three sides are 13, 37, and 40 cm. There is also a line drawn from the corner of the two sides that are 13 and 37 cm, that makes ...

### Math, Algebra (fast help would be nice)

So I did this whole math test and before I could hit "finish", my computer died and nothing saved. I have no memory of how I figured them out. Could you guys help please? Find the lateral area of the square pyramid. Show all steps. Base: 8m Length(height): 22m Find the surface...

### geometry

Find the lateral area of a rectangular prism if the base edges are 10 inches and 6 inches and whose height is 5 inches

### mAth

story: Diego is building an architectural rendering of a house. For a portion of the roof, Diego cuts and folds a net for a triangular prism. the base of the prism is an isoceles triangle. the triangle has a base of 24 inches and a height of 5 inches. the distance between the ...