AnswersMath 7 B M12 2526 S2Cross Sections

Cross Sections — Unit test Answers

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Which equation should be used to find the volume of the figure?

Question illustration
A
V = one-third (6) (4) (8)
Option A
B
V = one-half (6) (4) (8)
Option B
C
V = one-third (6) (4) (10)
Option C
D
V = one-half (6) (4) (10)
Option D
42
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A square pyramid was sliced perpendicular to its base but not through its vertex. What is the shape of the cross section shown in the figure?

Question illustration
A
a parallelogram that is not a rectangle or square
B
a rectangle that is not a square
C
a square
D
a trapezoid
43

A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?

Question illustration
A
a triangle that has the same dimensions as one of the sides of the pyramid
B
a triangle that does not have the same dimensions as one of the sides of the pyramid
C
a parallelogram that is not a rectangle
D
a rectangle
44

What is the surface area of the triangular prism?

Question illustration
A
2,001 square feet
B
2,376 square feet
C
2,592 square feet
D
4,320 square feet
45

What is the surface area of the triangular prism?

Question illustration
A
2,001 square feet
B
2,376 square feet
C
2,592 square feet
D
4,320 square feet
46

What is the shape of the cross section of the figure that is parallel to the triangular bases?

Question illustration
A
a parallelogram that is not a rectangle
B
a rectangle
C
a triangle that must have the same dimensions as the bases
D
a triangle that may not have the same dimensions as the bases
47

What is the surface area of the triangular prism? [Not drawn to scale]

Question illustration
A
115 square feet
B
120 square feet
C
135 square feet
D
150 square feet
48

A square pyramid was sliced perpendicular to its base but not through its vertex. What is the shape of the cross section shown in the figure?

Question illustration
A
a parallelogram that is not a rectangle or square
B
a rectangle that is not a square
C
a square
D
a trapezoid
49

Which expression represents the total surface area, in square meters, of the rectangular pyramid below?

Question illustration
A
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
Option A
B
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
Option B
C
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
Option C
D
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))
Option D
50

A pyramid has a volume of and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?

Question illustration
A
4 in.
B
12 in.
C
24 in.
D
36 in.
51

Which statement is true about every rectangular pyramid?

A
Each lateral face has an area less than the area of the base.
B
At least two of the lateral faces are congruent.
C
Each lateral face has the same height.
D
At least one of the faces has a whole number base or height.
52

A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?

Question illustration
A
a triangle that has the same dimensions as one of the sides of the pyramid
B
a triangle that does not have the same dimensions as one of the sides of the pyramid
C
a parallelogram that is not a rectangle
D
a rectangle
53

Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid?

A
84.3 cm2
B
108.6 cm2
C
157.2 cm2
D
168.6 cm2
54

Kievan bought a new eraser that came in a cardboard wrapper.What is the minimum amount of cardboard used for the wrapper?

Question illustration
A
38 centimeters squared
Option A
B
40 centimeters squared
Option B
C
76 centimeters squared
Option C
D
80 centimeters squared
Option D
55

Which could be the area of the base of the triangular prism? [Not drawn to scale]

Question illustration
A
6 ft2
B
10 ft2
C
12 ft2
D
20 ft2
56

What is the minimum amount of cloth that was used to make the tent shown below?

Question illustration
A
120 feet squared
Option A
B
160 feet squared
Option B
C
184 feet squared
Option C
D
208 feet squared
Option D
57

A pyramid has a volume of and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?

Question illustration
A
4 in.
B
12 in.
C
24 in.
D
36 in.
58

Which figure is shown?

Question illustration
A
prism
B
pyramid
C
cylinder
D
cone
59

Which equation can be used to find the volume of this solid?

Question illustration
A
V = StartFraction 7 + 6 over 2 EndFraction times 8
Option A
B
V = StartFraction 7 + 6 + 8 over 2 EndFraction
Option B
C
V = StartFraction 7 times 6 over 2 EndFraction times 8
Option C
D
V = StartFraction 7 times 6 over 2 EndFraction + 8
Option D
60

What is the shape of the cross section of the figure that is perpendicular to the rectangular base and passes through the top vertex of the figure?

Question illustration
A
a parallelogram that is not a rectangle
B
a rectangle
C
a triangle that must have the same dimensions as one of the faces
D
a triangle that does not have the same dimensions as one of the faces

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