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?

Respuesta :

Answer: Yes

Step-by-step explanation:

Given

Dimension of the toolbox is [tex]10\ in.\times 4\ in.\times 3\ in.[/tex]

suppose the length of the box is doubled, then a new length will be [tex]2\times 10\ in.[/tex]

So, the volume of the box becomes

[tex]\Rightarrow V=2\times 10\times 4\times 3[/tex]

It can also be written as

[tex]\Rightarrow V=2\times (10\times 4\times 3)=2\times (V_{old})[/tex]

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