Math Problem Solving (Help Please)

[Nakul]

A box in the shape of a rectangular prism is used in a movie scene. The base of the box measures 6 feet by 5 feet. The box has a volume of 195 cubic feet. The director hires an actor who is 6 feet 4 inches tall. Can the actor stand up straight in the box?

Also I do need to show my work so please write down the work to solve this. Thanks!

 

[math_celebrity]

Volume of rectangular prism is:
V = lwh

Plugging in the numbers you gave:
195 = (6)(5)h
195 = 30h

Divide each side by 30
h = 6.5

6.5 feet is 6 feet, 6 inches. This is 2 inches more than your actor, so yes, he will fit in the box standing up.