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…

Question

asked Dec 2, 2021 225k views

1 Answer

Daniel Brown · Answer 1 · 2021-12-07T06:02:00+0000

Answer:

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.