Unit 5 Geometry Review

Jean completely filled a box with  $\frac{1}{2}$  inch cubes. The box was a rectangular prism measuring  $3\ \frac{1}{2}$  inches long,  $2\ \frac{1}{2}$  inches wide, and  $\frac{1}{2}$  inch high. How many cubes did Jean use to fill the box?

• 6

• 35

• 8

• 32

Answer explanation

Determine how many 1/2 inch cubes are on each side (length, width, height), then multiply those numbers together!!

Rosa's dad is painting her baby brother's toy box shown in the diagram below. Which net below best represents the figure shown?

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Answer explanation

Talulah drew the net shown on a piece of cardboard. She plans to cut it out to make an odd-shaped gift box. What is the surface area of the gift box?

• $150\ cm^2$

• $120\ cm^2$

• $100\ cm^2$

• $90\ cm^2$

Answer explanation

Find the area of each rectangle or triangle and add all the pieces together!!

Calculate the volume of the rectangular prism in the diagram.

• $36\ cm^3$

• $48\ cm^3$

• $12\ cm^3$

• $144\ cm^3$

Answer explanation

Mr. Lao wants to carpet the hallway and living room shown in the diagram. How much carpet does Mr. Lao need to cover the hallway and living room?

• $272\ ft^2$

• $78\ ft^2$

• $320\ ft^2$

• $346\ ft^2$

Answer explanation

Find the area of each rectangle and add together!

Look at the right rectangular prism shown. What is the volume of the prism?

• $16\ ft^3$

• $14\ ft^3$

• $56\ ft^3$

• $52\ ft^3$

Answer explanation

Each option below shows a two-dimensional net and the name of a three dimensional figure. In which of the following options does the given net produce the given three-dimensional figure? (There is more than 1 correct answer)

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Answer explanation

Calculate the area of the triangle.

• $168\ units^2$

• $42\ units^2$

• $84\ units^2$

• $154\ units^2$

Answer explanation

Don't forget to divide by 2 when finding the area of a triangle.

A rectangular prism is shown. What is the volume in cubic inches?

• $780\ in^3$

• $48.75\ in^3$

• $104\ in^3$

• $390\ in^3$

Answer explanation

Debra takes apart a shipping box so that she can reuse the cardboard for an art project. The figure shows the disassembled box. What is the surface area of this box?

• $192\ in^2$

• $114\ in^2$

• $348\ in^2$

• $384\ in^2$

Answer explanation