Question

A tool box has the dimensions of 10 in by 4 in by 3 in. If Andrea plans to double one dimension to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?

Answer 1

Answer: Yes

Explanation:

Given

Dimension of the toolbox is
`10\ in.* 4\ in.* 3\ in.`

suppose the length of the box is doubled, then a new length will be
`2* 10\ in.`

So, the volume of the box becomes

`\Rightarrow V=2* 10* 4* 3`

It can also be written as

`\Rightarrow V=2* (10* 4* 3)=2* (V_(old))`

i.e. the volume of the toolbox is doubled. Therefore, Andrea is correct.