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 …

Question

asked Jan 27, 2022 44.5k views

1 Answer

Dat Tran · Answer 1 · 2022-01-31T18:35:50+0000

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.