Geometry Unit 6 Review

A regular 8-sided polygon is called an octagon. What is the area of the octagon that has sides that measure 6.5 inches and an apothem that measures 6.3 inches?

• 327.6 square inches

• 163.8 square inches

• 40 square inches

• 12.6 square inches

A regular heptagon has sides measuring 6.2 inches and an apothem that measures 3.7 inches. What is the area of this heptagon?

What is the area of the regular pentagon with 7-inch sides and an apothem that measures 5.3 inches?

• 92.75 square inches

• 185.5 square inches

• 37.1 square inches

• 371 square inches

What shapes are the cross sections of a triangular pyramid sliced by a plane that is parallel and by a plane that is perpendicular to its base?

• square/rectangle

• trapezoid/rectangle

• triangle/triangle

• triangle/square

A square pyramid is cut along the shaded plane shown below. Which of the following is the cross section of this solid?

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The lengths of each side of a rectangular prism are tripled. What is the ratio of the surface area of the original prism to the surface area of the larger one?

• 1 to 8

• 1 to 24

• 1 to 9

• 1 to 3

The jugs dimensions are half of the rain barrels. How many times can the jug be filled with one barrel of rain?

• 6

• 8

• 10

• 12

A triangular prism box is used to hold a slice of pie. The dimensions of the container are shown in the diagram.

What is the volume of the container in cubic inches?

• 32 in³

• 42 in³

• 116 in³

• 84 in³

Cynthia has a baseball that is 12 centimeters in diameter.

What is the surface area of the ball in terms of π?

Mathematical Equivalence

ON

What is the volume, in cubic inches, of a cone with a diameter of 16 inches and a height of 10 inches?

• 40/3 π in³

• 640/3 π in³

• 64/3 π in³

• 640 π in³