6.
The formula for the surface area of a triangular prism is S.A.= bh +(S1+S2=S3)l What does "bh" represent in this formula?
The combined area of the three lateral rectangular faces
The area of one of the triangular bases
the area of one of the three lateral rectangular faces
the combined area of the 2 triangular bases
The area of one of the triangular bases.
What is the surface area of the triangular prism?
12yd 13yd 11yd 5yd
We need to first identify which measurements correspond to which parts of the formula.
The formula for the surface area of a triangular prism is: S.A.= bh +(S1+S2+S3)l
In this case, we have:
- "b" is the base of one of the triangular faces: 12yd
- "h" is the height of one of the triangular faces: 13yd
- "l" is the length of the prism (from one end to the other): 11yd
- "S1", "S2", "S3" are the three rectangular faces (lateral faces)
To find the surface area, we need to find the areas of the two triangular faces and the three rectangular faces and add them up:
- Area of a triangular face = 1/2bh = 1/2(12yd)(13yd) = 78yd^2
- Area of all three triangular faces (since there are two identical ones) = 2(78yd^2) = 156yd^2
Now we need to find the areas of the three rectangular faces:
- Area of a rectangular face = Sl = (5yd)(13yd) = 65yd^2
- Area of all three rectangular faces = 3(65yd^2) = 195yd^2
Now we add up the areas:
156yd^2 + 195yd^2 = 351yd^2
Therefore, the surface area of the triangular prism is 351 square yards.
A hot chocolate company is deciding which box shape to use for their new product line. The first box (Box A) measures 8 inches by 6 inches by 9 inches. The second box (Box B) measures 9 inches by 4 inches by 13 inches. Which box requires more material to make?
Responses
Box B requires more material to make because the total material needed for Box A is 348 square inches, and the total material needed for Box B is 410 square inches.
Both Box A and Box B require the same amount of material. Both Box A and Box B require the same amount of material.
Box A requires more material to make because the total material needed for Box A is 348 square inches, and the total material needed for Box B is 205 square inches.
What is the point called where the lateral faces of a pyramid meet?
vertex
face
apex
edge
What do you need to remember to do when finding the surface area of composite figures?
Subtract the surface area of the smaller shape from the surface area of the larger shape.
Do not add the surface area that is hidden when the figures are placed together
Add the areas of all the faces of all the figures.
Find the areas of the faces and then double that total.
Both prisms and pyramids are named by the shape of their
16.
What is the formula for the surface area of a rectangular prism?
6s²
2lw+2lh+2wh
4lwh + lw
Slicing a rectangular pyramid with a plane can result in all of the following shapes Except:
triangle
circle
rectangle
trapezoid
Circle.
10.
A hot chocolate company is deciding which box shape to use for their new product line. The first box (Box A) measures 8 inches by 6 inches by 9 inches. The second box (Box B) measures 9 inches by 4 inches by 13 inches. Which box requires more material to make?
Responses
Box B requires more material to make because the total material needed for Box A is 348 square inches, and the total material needed for Box B is 410 square inches.
Both Box A and Box B require the same amount of material. Both Box A and Box B require the same amount of material.
Box A requires more material to make because the total material needed for Box A is 348 square inches, and the total material needed for Box B is 205 square inches.
Box B requires more material to make because the total material needed for Box B is 410 square inches, and the total material needed for Box A is 300 square inches.
11.
What is the point called where the lateral faces of a pyramid meet?
vertex
face
apex
edge
Vertex.
Jerry wants to wrap a present in a box for his mother. The box measures 10 cm wide, 4 cm high, and 17 cm long. How much wrapping paper will Jerry need to wrap the present?
516 sq cm
386 sq cm
556 sq cm
476 sq cm
To find the amount of wrapping paper needed, we need to find the surface area of the box.
The formula for the surface area of a rectangular prism (which is what this box is) is:
S.A. = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height.
In this case, we have:
l = 17 cm
w = 10 cm
h = 4 cm
Plugging these values into the formula, we get:
S.A. = 2(17)(10) + 2(17)(4) + 2(10)(4)
S.A. = 340 + 136 + 80
S.A. = 556 sq cm
Therefore, Jerry will need 556 square centimeters of wrapping paper to wrap the present.
The answer is 556 sq cm.
13.
What do you need to remember to do when finding the surface area of composite figures?
Subtract the surface area of the smaller shape from the surface area of the larger shape.
Do not add the surface area that is hidden when the figures are placed together
Add the areas of all the faces of all the figures.
Find the areas of the faces and then double that total.
Do not add the surface area that is hidden when the figures are placed together.
14.
Both prisms and pyramids are named by the shape of their ______
Bases.
15
How many vertices (vertex) are found on this figure?
4
6
8
2
The figure in question is not specified, so it is impossible to answer this question accurately. Please provide more information.
16.
What is the formula for the surface area of a rectangular prism?
6s²
2lw+2lh+2wh
4lwh + lw
2lw+2lh+2wh
17.
Solve for the total surface area of the figure
11.5 by 6.2 by 13.7 by 7.5 by 7.5 by 4 by 3
This question seems incomplete or unclear. It is not clear what type of figure is being referred to, and which dimensions correspond to which parts of the figure. Please provide more information or context.
11.5x13.7x4x3x7.5x7.5x6.2=
Multiplying these numbers together, we get:
11.5 x 13.7 x 4 x 3 x 7.5 x 7.5 x 6.2 = 23,981.925
Therefore, the total surface area of this figure is approximately 23,981.925 cubic units.
23981 divided by 7
When you divide 23,981 by 7, you get:
3,426.14285714 (rounded to 9 decimal places)
Therefore, 23,981 divided by 7 is approximately 3,426.143.
3426 divided by 7
When you divide 3,426 by 7, you get:
489.428571429 (rounded to 9 decimal places)
Therefore, 3,426 divided by 7 is approximately 489.429.
what is the total surface area of 11 by 3 by 6 with a smaller rectangle that is 3 by 2
We need more information in order to find the total surface area of this figure. It is not clear how the two shapes are related to each other or how they are positioned. Please provide a more detailed description or a diagram of the figure.
1.
Can a refrigerator that is 21.5 cubic feet fit in a space that is 21 cubic feet?
No, it is too small for the space.
No, the refrigerator is bigger than the available space.
Yes, since the refrigerator is just a little bigger than the space, you can squeeze it in.
Yes, the 0.5 extra cubic feet would not make a difference.