Question

A sandbox in the shape of a rectangular prism is 2 feet deep and 6 feet wide. Filled to the top it can hold 72 cubic feet of sand. What is the height of the sandbox? PLEASE HELP!!

Answer 1

height=6 ft

Explanation:

-The volume of a rectangular prism is given by the formula:

`V=lwh`

#We make h the subject of the formula the solve for it:

`V=lwh\\\\(V)/(lw)=h\\\\\therefore h=(V)/(lw)`

#Substitute to solve for height:

`h=(V)/(lw)\\\\=(72)/(2* 6)\\\\=6\ ft`

Hence, the prism has a height of 6 ft.