Benchmark 3 Study Guide 2025

A new gaming computer is in the shape of a cube with an edge length of 6 inches. The computer is sold in a package the shape of a rectangular prism with a base area of 49 square inches and a height of 8 inches.

How much empty space, in cubic inches, remains in the package after the computer is placed in it?

(Hint: find the volume of the package, then the volume of the computer, and find the difference)

• 216

• 392

• 176

• 142

A new gaming computer is in the shape of a cube with an edge length of 6 inches. The computer is sold in a package the shape of a rectangular prism with a base area of 49 square inches and a height of 8 inches.

What is the surface area of the package in square inches?

• 322

• 278

• 161

• 216

A pool has a radius of 11 feet. A patio has a radius of 20 feet. How much smaller in square feet is the area of the pool compared to the patio?

• 876.06

• 379.94

• 1256

• 937.83

Find the circumference of the circle. Use 3.14 for pi.

• 57.12

• 153.86

• 43.96

• 21.98

Find the circumference of the circle. Use 3.14 for pi.

• 9.42

• 113.04

• 18.84

• 78.5

A circular pool has a diameter of 14 feet. What is the area of the pool?

• 153.86

• 21.98

• 43.96

• 167.45

• 28.26

• 1526.04

• 254.34

• 987.38

A map is being reduced to form a pocket sized version. What is the scale factor being used to reduce the map?

• 4

• 6

A house is 20 meters wide. A model of it was built with a scale factor of 1 inch : 2 meters. How wide is the model?

• 40 inches

• 1 inch

• 10 inches

• 15 inches

Describe the shape resulting from the cross section.

• Triangle

• Circle

• Cone

• Oval