Question

A tool box has the dimensions of 10 in by 7 in by 3 in. If Deena plans to double all three dimensions to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?

Answer 1

She will not be correct

Explanation:

Given data

Length=10in

Width=7in

Height=3in

The volume of the toolbox

V=10*7*3

V=210 in^3

Let us double the volume and see

2V= 210*2

=420 in^3

Let us also double the individual dimensions

Length=20

Width=14in

Height=6in

V= 20*14*6

V=1680 in^3

Hence the volume will be different, she will not be correct