Question

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?

Answer 1

Volume of right rectangular prism = Length x Width x Height
Using the given dimensions, we can write:

Volume of right rectangular prism = 3 x 12 x 5 = 180 cubic inches

Volume of oblique rectangular prism = Base Area x Height
Base Area = 4 x 9 = 36 square inches

So, Volume of oblique rectangular prism = 36 x 5 = 180 cubic inches

Thus, we can conclude that the two volumes are the same.