contestada

A rectangular prism has a length of 734 inches, a width of 312 inches, and a height of 6 inches. Mario has a storage container for the prism that has a volume of 165 cubic inches. What is the difference in volume between the prism and the storage container?

Respuesta :

Answer: [tex]27.6\ in.^3[/tex]

Step-by-step explanation:

Given

Length of Prism is [tex]l= 7.34\ in.[/tex]

The width of Prism is [tex]w=3.12\ in.[/tex]

The height of Prism is [tex]h=6\ in.[/tex]

The volume of a The height rectangular prism is given as

[tex]V=l\times w\times h[/tex]

Substituting values we get

[tex]\Rightarrow V=7.34\times 3.12\times 6=137.404\ in.^3[/tex]

Volume of storage [tex]V_s=165\ in.^3[/tex]

The difference in volume is

[tex]\Rightarrow 165-137.404=27.59\approx 27.6\ in.^3[/tex]