Geometry Homework

Question

A wedge of cheese is shaped like a triangular prism. The wedge of the cheese is 10 inches tall. The base of the cheese is shaped like a triangle with a base of 9 and a height of 8 inches. If you ate this whole block of cheese, how many cubic inches would you have eaten?

A. 360 in^3

B. 180 in ^3

C. 720 in ^3

D. 27 in ^3

Answer 1

The volume of a solid is determined by multiplying the area of the base times the height. Here, the base is a triangle, whose area is given by half the length of the base (9) times the height (8).

A(triangle)= 1/2 (b) (h) = 1/2 (9)(8) = 36.

The height of the prism is 10, so now multiply the area of the base (36) times the height (10).

Volume(prism)= (base)(height)=36(10)=360.

Answer: A