Question

Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet. Storage locker B has a volume of 306 cubic feet.

Part A
Which storage locker is bigger? Use the drop-down menus to show and explain your answer.


Locker is bigger. Locker A has a volume of cubic feet, which is than the volume of Locker B.

Part B
The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot. How much does it cost to rent the largest locker each month? Enter your answer in the box.

$

Answer 1

Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet.

Its volume can be found as =
`6*6*9=324` cubic feet.

Storage locker B has a volume of 306 cubic feet.

Part A:

Locker A is bigger. Locker A has a volume of 324 cubic feet, which is 18 cubic feet more than the volume of Locker B.

Part B:

The monthly rent for Locker A is $0.35 per cubic foot. So, total rent becomes:

`324*0.35=113.4` dollars

The monthly rent for Locker B is $0.40 per cubic foot. So, total rent becomes:

`306*0.40=122.4` dollars

Therefore, it costs $113.40 to rent the largest locker each month.

Answer 2

Part A:

Locker A is bigger

Locker A has a volume 324 of cubic feet

Part B:

$113.4 each month

Explanation:

∵ The dimensions of locker A are 6 , 6 , 9 feet

∴ Its volume = 6 × 6 × 9 = 324 feet³

∵ The volume of locker B is 306 feet³

∴ Locker A is bigger

Part B:

∵ The monthly rent for locker A = $0.35

∴ The cost of rent of the largest = 0.35 × 324 = $113.4 each month