Graphic DesignWorks ships the T-shirts it makes in boxes that measure 24 in
x 18 in x 16 in. The company rents a storage space that measures 400 ft x
240 ft x 60 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 576,000 boxes
B. 1,440,000 boxes
C. 6912 boxes
D. 972,000 boxes

Respuesta :

Answer:The answer is c

Step-by-step explanation:

The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.

What is volume?

Volume is the three-dimensional space enclosed by a three-dimensional object.

We have to find the volume of the box and the volume of the storage space.

  • The volume of the box:

Volume = length × breadth × height

= 24 × 18× 16 in³

=6912 in³

  • The volume of the storage space:

Volume = length × breadth × height

= 400 × 240 × 60 ft³

= 5760000 ft³

  • We have to convert this into inches. We know that  1 foot = 12 inches.

Therefore, 5760000 ft³ = 5760000 × (12)³ in³

  • We have to divide the volume of the storage space by the volume of the box to find the number of boxes that it can fit:

Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³

= 1440000 boxes.

Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.

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