A shoe box in the shape of a right rectangular prism has a base that measures 7 inches by 12 inches and is 5 inches high. What is the volume of the shoe box in cubic inches Whst

The volume of the shoe box is 420 cubic inch

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a righ rectangular prism

Given data

Length of prism l= 12inches

Width of prism w= 7 inches

Height of prism h= 5 inches

We know that the volume of a rectangular prism is expressed as

Volume =l*w*h

Volume = 12*7*5= 420in³

420in³

Step-by-step explanation:

Volume of the rectangular prism = Base area × Height

Since the base is a rectangle;

Base area = Length × Width

Base area = 7inches × 12inches

Base Area = 84in²

Height = 5in

Volume of the rectangular prism = 84in²×5in

= 420in³

The volume of the shoe box is 420in³