Find the dimensions of the box described. The length is 3 inches more than the width, which is 4 inches more than the height. The volume is 352 cubic inches.

Question

i am just so lost and i have no idea what to do. i have tried to plug it into the formula V=L*W*H but i cant seem to get an answer

Answer 1

L=3+W

W=4+H

plug w into first equation

L=7+H

Vol=352=LWH=(7+H)(4+H)H

this gives you a cubic which you can factor. you should find a linear and quadratic term. The quadratic term is always positive so it will never be zero. the linear term will give you the value of the dimension.