Question

Claire bought five toy boxes. Each toy box is in the shape of a cube. The total volume of the five toy boxes when placed in a row is 2,600 cubic inches. Claire thinks she will need about 40 inches of floor length for the toy boxes and Lucy thinks she will need about 45 inches of floor length for the toy boxes.

Answer 1

Please find the answer in the explanation.

Explanation:

Given that Each toy box is in the shape of a cube. The total volume of the five toy boxes when placed in a row is 2,600 cubic inches.

If Claire thinks she will need about 40 inches of floor length for the toy boxes and Lucy thinks she will need about 45 inches of floor length for the toy boxes, one of them must be right.

Since Volume = L × B × h

Substitute the volume value and the length into the formula to know the area of the box. This must be in whole number and not in decimal number.

Area = 2600 / 40

Area = 65 square inches. For Claire.

Then for Lucy, we get:

Area = 2600 / 45

Area = 57.7778 square inches

We can therefore conclude that Claire is correct.