Chapter 10 Surface Area and Volume OST (7th grade) Review

A hexagonal prism is shown. Select the shape that is formed by each cross section.

• Rectangle

• Cross section through points A, B, E, and J

• Rectangle

• Cross section through points C, D, and H

• Hexagon

• Cross section through points A, I, and J

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2016 #5

A right square pyramid is sliced through its apex and perpendicular to its base. What is the shape of the cross section that is the result of this action?

• a square

• an isosceles triangle

• an isosceles trapezoid

• a non-isosceles trapezoid

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2017 #1

A container in the shape of a rectangular prism holds 651.168 cubic inches when completely filled with water. The container has a height of 12.6 inches and a width of 15.2 inches. What is the length, in inches, of the container?

Mathematical Equivalence

ON

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2017 #17

Select ALL of the solids that could be sliced horizontally or vertically to create a triangular cross section.

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2018 #17

A cube has a surface area of 150 square inches (in.²). What is the area, in square inches, of one face of the cube?

Mathematical Equivalence

ON

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2018 #27

A three-dimensional figure is shown. Select all of the shapes of the cross sections that could result in slicing the figure as described in the table.

• Triangle and Trapezoid

• Perpendicular to the base through the apex

• Square

• Perpendicular to the base, not through the apex

• Triangle

• Parallel to the base

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Practice Test #6

A right triangular prism is shown. What is the volume, in cubic inches, of the prism?

Mathematical Equivalence

ON

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Practice Test #13

A two-dimensional cross section is created by slicing a pyramid parallel to its base. Which statement best describes the cross section?

• the same shape as the base but a larger area

• the same shape as the base but a smaller area

• a different shape than the base and a larger area

• a different shape than the base and a smaller area

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2019 #20

A right pentagonal pyramid is shown. Select all of the two-dimensional shapes that can result from slicing the right pentagonal pyramid with a plane parallel or perpendicular to its base.

• Triangle

• Rectangle

• Pentagon

• Trapezoid

• Parallelogram

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2021 #15

A tank in the shape of a right rectangular prism is shown. One cubic meter is equivalent to 1,000 liters. How many liters of water are needed to completely fill the tank?

• 132

• 180

• 1,320

• 1,800