Unit 4 Part 2 Review

What is the volume of a rectangular prism with the dimensions: base  $3\ \frac{1}{2}$  cm, height  $1\ \frac{1}{2}$  cm, and length  $5\ \frac{1}{2}$  cm?

•  $30\ \frac{1}{2}\ cm$  

•  $28\ \frac{7}{8}\ cm$ 

•  $15\ \frac{1}{2\ cm}$  

•  $14\ \frac{7}{16}cm$  

In terms of  $\pi,$   what is the volume of the sphere?

•  $360\pi$  cubic feet

•  $1800\pi$  cubic feet

•  $27000\pi$  cubic feet

•  $36000\pi$  cubic feet

Determine the coordinates of the corners of the rectangle to compute the area of the rectangle. Round your answer to the nearest integer.

• 12 units²

• 25 units²

• 30 units²

• 36 units²

Identify the cross section that results from slicing the three-dimensional figure. The cross section is parallel to the base.

• pyramid

• prism

• square

• triangle

The cylinder below is cut by a plane perpendicular to the base of the cylinder. What is the shape of the cross section?

• circle

• ellipse

• rectangle

• square

A plane slices through a cone as shown. Which term best describes the cross section?

• circle

• rectangle

• rhombus

• trianlge

Miranda's chocolate bar is in the shape of a triangular prism. She cuts her chocolate bar parallel to its base. The dotted line in the picture represents Miranda's cut. What is the shape of the cross section of Miranda's cut?

• triangle

• rhombus

• rectangle

• trapezoid

According to Cavalieri's Principle, if the cross-sectional area of two prisms is the same for every height above the base, then the volumes will be the same. Which shape represents the cross-sectional view of these prisms?

• 
• 
• 
• 

Based on the graphic, if the two figures have the same base area, which three-dimensional figure has the greatest volume?

• cannot be determined

• the rectangular prism

• the have the same volume

• the oblique rectangular prism

The base of each book is 63 in². The height of the stack of books is 15.75 inches. What is the volume of the stack of books?

• 337.85 in³

• 665.21 in³

• 850.15 in³

• 992.25 in³