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

Answer:

Length is 20 in

Height is 4 in

Step-by-step 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

$H=\frac{1}{5}x$

now, we can find volume

$V=L\times W\times H$

we can plug

$640=x\times 8\times \frac{1}{5}x$

now, we can solve for x

$\frac{8}{5}x^2=640$

$x^2=400$

$x=20$

so, L=20 in

$H=\frac{1}{5}\times 20$

$H=4$

So,

Length is 20 in

Height is 4 in