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!!

Respuesta :

Answer:

height=6 ft

Step-by-step explanation:

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

[tex]V=lwh[/tex]

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

[tex]V=lwh\\\\\frac{V}{lw}=h\\\\\therefore h=\frac{V}{lw}[/tex]

#Substitute to solve for height:

[tex]h=\frac{V}{lw}\\\\=\frac{72}{2\times 6}\\\\=6\ ft[/tex]

Hence, the prism has a height of 6 ft.