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