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## GMAT - Problem Solving - Geometry

### A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet

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?

Assume the length of the box be L, width be W and height be H

The Volume of the sandbox = LWH = 10 cubic feet

The carpenter doubles the Length, Width and Height

New Length = 2L

New Width = 2W

New Height = 2H

New Volume = 2L*2W*2H = 8 LWH

but we know that LWH = 10 cubic feet

hence new volume = 10*8 cubic feet = 80 cubic feet

Assume the length of the box be L, width be W and height be H

The Volume of the sandbox = LWH = 10 cubic feet

The carpenter doubles the Length, Width and Height

New Length = 2L

New Width = 2W

New Height = 2H

New Volume = 2L*2W*2H = 8 LWH

but we know that LWH = 10 cubic feet

hence new volume = 10*8 cubic feet = 80 cubic feet