Question

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

Answer 1

Considering the volume of a rectangular prism, the capacity of the second sandbox would be of 80 cubic feet.

What is the volume of a rectangular prism?

The volume of a rectangular prism with length l, width w and height h is given by the multiplication of the measures, that is:

V = lwh.

In this problem, the capacity is of 10 cubic feet, that is:

V = lwh = 10.

When each measure is doubled, the volume will be given as follows:

V=  2l x 2w x 2h = (2 x 2 x 2)lwh = 8lwh = 8V = 80 cubic feet.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

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