Question

Find the dimensions of the box described.
The length is twice as long as the width. The height is 4 inches greater than the width. The volume is 720 cubic inches.
Find the width and the height?
can someone please help :)

Answer 1

Answer:

dimensions are L = 12, W = 6, H = 10

Step-by-step explanation:

so we have a box where length is 2x width

get our first equation

L = 2w

height is 4 inches + width so the 2nd equation is

H = W + 4

Volume is 720 inches cube, the formula for volume is

L * H * W

so We substitute the equations in the formula

2W * (W + 4) * W = 720

we get (2W^2 + 8W) * W = 720

keep expanding to get 2W^3 + 8W^2 = 720

bring the 720 on left side

2W^3 + 8W^2 - 720 = 0

using calculator we get W = 6

substitute it into the equation of H = W + 4

H is 10

and lastly, L = 2W

so L = 12

and there you have it, hope this helped