Question

16. Lisa needs to rent a storage unit in the shape of a rectangular prism that has a volume of between 700

cubic feet and 710 cubic feet. Several choices are shown below. Which of the following size storage
units can Lisa rent?
A length: 10 feet, width: 8 feet, height: 9 feet
B length: 9 feet, width: 9 feet, height: 9 feet
C length: 9 feet, width: 10 feet, height: 9 feet
D length: 8 feet, width: 8 feet, height: 11 feet

Answer 1

D

Explanation:

Just multiple them and see which one fits the question.

A: 10 * 8 = 80 * 9 = 720 So it's too big.

B: 9 * 9 = 81 * 9 = 729. Also too big.

C: 9 * 10 = 90 * 9 = 810 too big.

D: 8 * 8 = 64 * 11= 704

Answer 2

D length: 8 feet, width: 8 feet, height: 11 feet

Explanation:

volume of a rectangular prism = length x width x height

Therefore,

A) volume = 10 x 8 x 9 = 720 cubic feet

B) volume = 9 x 9 x 9 = 729 cubic feet

C) volume = 9 x 10 x 9 = 810 cubic feet

D) volume = 8 x 8 x 11 = 704 cubic feet

As the prism has a volume of between 700 and 710 cubic feet, D is the solution.