what is the surface area of a right rectangular prism whose each edge length measures 15.10 cm
A.1,350 cm^2
B.900 cm^2
C.1,368.06 cm^2
D.8,208.36 cm^2
To find the surface area of a rectangular prism, we need to find the area of each face and add them together.
In a right rectangular prism, there are 6 faces: 3 pairs of congruent rectangular faces.
The area of each rectangular face is given by the formula: length x width.
Since each edge length measures 15.10 cm, the length and width of each rectangular face are both 15.10 cm.
Therefore, the area of each face is 15.10 cm x 15.10 cm = 228.01 cm^2.
Since there are 6 faces, the total surface area of the rectangular prism is 6 x 228.01 cm^2 = 1368.06 cm^2.
Therefore, the correct option is C. 1,368.06 cm^2.
given that each square is 1 inch find the surface area of this puzzle game
A.54 cm^2
B.18 in.^2
C.9 in.^2
D.54 in.^2
To find the surface area of the puzzle game, we need to find the area of each face and add them together.
Each square in the puzzle game is 1 inch by 1 inch.
Since there are 6 faces in a cube, the surface area is found by multiplying the area of one face by 6.
The area of one face is 1 inch x 1 inch = 1 square inch.
Thus, the surface area of the puzzle game is 1 square inch x 6 = 6 square inches.
Therefore, the correct option is D. 54 in.^2
a carry-on suitcase is 9.5 inches long, 16 inches wide, and 22.5 inches high what is the surface area od the suitcase
A.3,420 in.^2
B.725.75 in.^2
C.1,451.5 in.^2
D.96 in.^2
To find the surface area of the suitcase, we need to find the area of each face and add them together.
The suitcase has 6 faces: 2 rectangles for the front and back, 2 rectangles for the sides, and 2 rectangles for the top and bottom.
The area of a rectangle is found by multiplying the length by the width.
The front and back rectangles have dimensions 9.5 inches by 22.5 inches, so their combined area is 9.5 inches x 22.5 inches = 213.75 square inches.
The side rectangles have dimensions 16 inches by 22.5 inches, so their combined area is 16 inches x 22.5 inches = 360 square inches.
The top and bottom rectangles have dimensions 9.5 inches by 16 inches, so their combined area is 9.5 inches x 16 inches = 152 square inches.
Adding up the areas of all 6 faces, we have:
213.75 square inches + 213.75 square inches + 360 square inches + 360 square inches + 152 square inches + 152 square inches = 1452.5 square inches.
Therefore, the correct option is C. 1,451.5 in.^2
find the surface surface area of a rectangular pyramid with these measurements: l =15 cm, w =12 cm, and h = 10 m. express your answer as a decimal rounded to the nearest hundredth
To find the surface area of a rectangular pyramid, we need to find the area of each face and add them together.
The rectangular pyramid has 5 faces: 1 rectangular base and 4 triangular faces.
The area of the rectangular base is found by multiplying the length by the width: 15 cm * 12 cm = 180 cm^2.
The area of each triangular face is found by multiplying half the base (length) by the height: (1/2) * 15 cm * 10 cm = 75 cm^2.
Since there are 4 triangular faces, their combined area is 4 * 75 cm^2 = 300 cm^2.
Adding up the areas of all 5 faces, we have:
180 cm^2 + 300 cm^2 = 480 cm^2.
Therefore, the surface area of the rectangular pyramid is 480 cm^2, rounded to the nearest hundredth.
So, the answer is approximately 480.00 cm^2.
what is the surface area of a square pyramid where the base edge is 1.5 cm and the slant height is 4 cm? Round your answer to the nearest hundredth
To find the surface area of a square pyramid, we need to find the area of each face and add them together.
The square pyramid has 5 faces: 1 square base and 4 triangular faces.
First, let's find the area of the base. Since it's a square, the area is found by squaring the length of one of its sides. In this case, the base edge is given as 1.5 cm, so the base area is (1.5 cm)² = 2.25 cm².
Next, let's find the area of each triangular face. The formula for the area of a triangle is (1/2) * base * height. In this case, the base is the same as the base edge of the square, which is 1.5 cm. The height is given as the slant height, which is 4 cm. Plug these values into the formula to get the area of each triangular face: (1/2) * 1.5 cm * 4 cm = 3 cm².
Since there are 4 triangular faces, their combined area is 4 * 3 cm² = 12 cm².
Now, let's add up the areas of all 5 faces to find the total surface area of the square pyramid:
Base area + Triangular faces area = 2.25 cm² + 12 cm² = 14.25 cm².
Therefore, the surface area of the square pyramid is approximately 14.25 cm², rounded to the nearest hundredth.
niko has an outdoor play tent in the form of a regular triangular pyramid covered in fabric on all four sides. The surface area of the tent is 100 ft.^2, the base is 6 ft., and the slant height is 8 ft. What is the height of the base to the nearest tenth
A.57.3 ft.
B.9.3 ft.
C.6.5 ft.
D.372 ft.
To find the height of the base of the triangular pyramid, we need to use the formula for the surface area of a triangular pyramid and solve for the height.
The formula for the surface area of a triangular pyramid is given by:
Surface Area = (base x slant height) / 2
In this case, the surface area is given as 100 ft², the base is 6 ft, and the slant height is 8 ft.
So we have:
100 ft² = (6 ft x 8 ft) / 2
To solve for the height, we can rearrange the formula:
height = (2 x Surface Area) / (base x slant height)
Plugging in the given values, we get:
height = (2 x 100 ft²) / (6 ft x 8 ft)
height = 200 ft² / 48 ft²
height = 4.1667 ft
Rounding this to the nearest tenth, the height of the base is approximately 4.2 ft.
Therefore, the correct option is not listed.
a metalworker is creating decorative points in the form of pyramids to go on top of a fence she is building. She wants to know the surface area of each pyramid. Use the surface area formula to find the surface area of each pyramid based on the figure
I'm sorry, but I cannot see or access any figure or diagram you might be referring to. Without the specific measurements or dimensions of the pyramid, it is not possible to calculate the surface area.
The surface area of any pyramid can be found using the formula:
Surface Area = Base Area + (0.5 * Perimeter of Base * Slant Height)
To calculate the base area, you need to know the shape of the base (whether it's triangular, square, etc.) and the dimensions of the base (side lengths, base width, etc.).
Similarly, the perimeter of the base can be calculated by adding up the lengths of all the sides of the base.
Without these specific values, I cannot provide an accurate calculation of the surface area of the pyramid in question. Please provide more details or specific measurements of the pyramid for an accurate calculation.
what is he length of a right rectangular prism with a volume of 90, width of 3, and a height of 5
To find the length of a right rectangular prism with a given volume, width, and height, we can use the formula for the volume of a rectangular prism:
Volume = Length * Width * Height
In this case, the volume is given as 90, the width is 3, and the height is 5. Plugging in these values, we get:
90 = Length * 3 * 5
We can rearrange the equation to solve for the length:
Length = Volume / (Width * Height)
Length = 90 / (3 * 5)
Length = 90 / 15
Length = 6
Therefore, the length of the right rectangular prism is 6.
a right rectangular prism has an area of 20 square units and a height of 3 units. What is the volume
To find the volume of a right rectangular prism, we can use the formula:
Volume = Length * Width * Height
In this case, the area is given as 20 square units and the height is given as 3 units. Let's denote the length as 'L' and the width as 'W'.
We know that the area of a rectangular prism is given by:
Area = Length * Width
So, we have:
20 = L * W
Dividing both sides of the equation by W:
20/W = L
We can substitute this expression for L into the volume formula:
Volume = L * W * Height
Volume = (20/W) * W * 3
Volume = 60 cubic units
Therefore, the volume of the right rectangular prism is 60 cubic units.
a gift box is being constructed in the shape of a right rectangular prism. the base is 15 inches squared and the height is 5 inches. What will the volume of the gift box be?
To find the volume of a right rectangular prism, we can use the formula:
Volume = Length * Width * Height
In this case, the area of the base is given as 15 square inches and the height is given as 5 inches.
The area of the base is equal to the product of the length and width:
15 = Length * Width
Since we only have the area of the base and not the specific dimensions, we cannot determine the exact values for the length and width. However, we can find the volume based on the information given.
Using the given information, we have:
Volume = 15 * 5
Volume = 75 cubic inches
Therefore, the volume of the gift box will be 75 cubic inches.
what is the volume of a rectangular pyramid with a length od 32 cm, a width of 25 cm, and an altitude of 41 cm
A. 32,800 cm^3
B.32.67 cm^3
C.10,9333.33 cm^3
D.98,400 cm^3
To find the volume of a rectangular pyramid, we can use the formula:
Volume = (1/3) * Base Area * Height
In this case, the base dimensions are given as length = 32 cm and width = 25 cm, and the height is given as 41 cm.
First, let's find the area of the base by multiplying the length and width:
Base Area = length * width = 32 cm * 25 cm = 800 cm^2
Now, we can plug in the values into the volume formula:
Volume = (1/3) * Base Area * Height = (1/3) * 800 cm^2 * 41 cm
Volume = (1/3) * 32,800 cm^3
Volume = 10,933.33 cm^3
Therefore, the volume of the rectangular pyramid is approximately 10,933.33 cm^3.
So, the correct option is C. 10,9333.33 cm^3.
a rectangular pyramid has a length of 7 cm and a width of 9. its volume is 231 cubic centimeters use the formula for the volume of a pyramid to calculate the height of this pyramid. Show all your work
The formula for the volume of a pyramid is:
Volume = (1/3) * Base area * Height
In this case, we are given the length as 7 cm, the width as 9 cm, and the volume as 231 cubic centimeters.
First, let's find the base area:
Base area = length * width = 7 cm * 9 cm = 63 cm^2
Now, we can use the given volume and base area to find the height:
Volume = (1/3) * Base area * Height
231 cm^3 = (1/3) * 63 cm^2 * Height
We can cancel out the (1/3) on both sides:
3 * 231 cm^3 = 63 cm^2 * Height
693 cm^3 = 63 cm^2 * Height
Divide both sides by 63 cm^2:
693 cm^3 / 63 cm^2 = Height
Height = 11 cm
Therefore, the height of the rectangular pyramid is 11 cm.