Question

Graphic DesignWorks ships the t-shirts it makes in boxes that measure 20 in x 18 in x 15 in. The company rents a storage space that measures 300 ft x 240 ft x 45 ft. What is the best estimate of the number of boxes Graphic DesignWorks is able to store?

A) 5400 boxes
B) 856,400 boxes
C) 324,000 boxes
D) 1,036, 800 boxes

Answer 1

D) 1,036,800 boxes

Explanation:

The volume of a box is ...

(20 in)(18 in)(15 in) = 5400 in^3

The volume of the storage space is ...

(300 ft)(240 ft)(45 ft) = 3,240,000 ft^3

Then the number of boxes that will fit in the storage space is ...

(3240000 ft^3)(1728 in^3/ft^3)/(5400 in^3/box) = 1,036,800 boxes