Cross Sections — Unit test Answers

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1
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Which correctly describes a cross section of the square pyramid? Select three options.

Question illustration
A
A cross section parallel to the base is a square with side lengths of 2 ft.
B
A cross section parallel to the base is a square with side lengths of less than 2 ft.
C
A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.
D
A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
E
A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
2
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Gina bought the small plastic boxes below. Which container requires more plastic to make, and how much more plastic is needed?

Question illustration
A
The container on the right is made of more plastic.
Option A
B
The container on the left is made of more plastic.
Option B
C
The container on the right is made of more plastic.
Option C
D
The container on the left is made of more plastic.
Option D
6

Which shows how to determine the volume of the pyramid?

Question illustration
A
V = one-third (3) (3) (5)
Option A
B
V = one-half (3) (5)
Option B
C
V = one-half (3) (3) (5)
Option C
D
V = one-third (3) (5)
Option D
7

Nikolas calculated the volume of the prism. His work is shown below.Nikolas’s Work:Where, if any, did Nikolas first make a mistake in his work?

Question illustration
A
Nikolas used the wrong measurements when finding the area of the base.
B
Nikolas used the wrong formula for the volume of the prism.
C
Nikolas made a computational error.
D
Nikolas did not make a mistake.
9

Ryan and Scott are each studying a square pyramid.Which statement best describes the two pyramids?

Question illustration
A
Both pyramids have the same total surface area, but the areas of the lateral faces and the areas of the bases are different in each pyramid.
B
Both pyramids have the same total surface area, and the areas of the lateral faces and the areas of the bases are the same in each pyramid.
C
Ryan’s pyramid has a greater surface area.
D
Scott’s pyramid has a greater surface area.
12

Regina’s work to find the surface area of a square pyramid from its net is shown below. Surface area of the pyramid = square inchesWhat error did Regina make?

Question illustration
A
She should have used to represent the area of a single triangle.
Option A
B
She should have multiplied all the terms inside the parentheses by 4 when she simplified.
C
She should have used to represent the area of a single triangle.
Option C
D
She should have used a different collection of shapes as the net of the pyramid.
13

Which shape is pictured here?

Question illustration
A
cube
B
rectangular pyramid
C
rectangular prism
D
rectangular cylinder

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