Question

The width of a rectangular box is 8in. The height is one fifth the length x. The volume is 640 in^3 (inches cubed). What is the height and length?

Answer 1

Length is 20 in

Height is 4 in

Explanation:

we are given

The width of a rectangular box is 8in

so,
`W=8`

The height is one fifth the length

Let's assume length =x

L=x

`H=(1)/(5)x`

now, we can find volume

`V=L* W* H`

we can plug

`640=x* 8* (1)/(5)x`

now, we can solve for x

`(8)/(5)x^2=640`

`x^2=400`

`x=20`

so, L=20 in

`H=(1)/(5)* 20`

`H=4`

So,

Length is 20 in

Height is 4 in