Question

A storage locker measures 8 feet wide, 12 feet deep, and 9 feet high. The monthly rental price for the locker is $3.60 per cubic yard. How much does it cost to rent the locker each month? Use the drop-down menus to show your answer.

The volume of the locker is cubic feet, which is equivalent to cubic yards. So, the total cost to rent the locker is

Answer 1

• 864 ft³
• 32 yd³
• $115.20

Explanation:

The volume in cubic feet is the product of the dimensions:

V = WDH = (8 ft)(12 ft)(9 ft) = 864 ft³.

There are 27 ft² in a cubic yard, so this is ...

(864 ft³)(1 yd³/(27 ft³)) = 32 yd³

At a cost of $3.60 per cubic yard, the cost is ...

($3.60/yd³)(32 yd³) = $115.20

The cost to rent the locker is $115.20 per month.

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If you didn't have to provide the volume in cubic feet, it would be convenient to compute it using yards as the units of measurement.

V = WDH = (8/3 yd)(4 yd)(3 yd) = 32 yd³