A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches. If you ate this whole block of cheese, how many cubic inches would you have eaten?

A. 420 in^3

B. 385 in^3

C. 192.5 in^3

D. 210 in^3

Question

Mathematics

Guest

1 October, 18:09

A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches. If you ate this whole block of cheese, how many cubic inches would you have eaten?

A. 420 in^3

B. 385 in^3

C. 192.5 in^3

D. 210 in^3

+2

Answers (1)

Know the Answer?

Kenny · Answer 1

Answer:C. 192.5 in^3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a triangular prism = area of triangular base x height of the prism

Area of triangular base = base x height of the triangle base x 1/2

Replacing with the values given:

V = 11 x 5 x 1/2 x7

V = 192.2 in^3

In conclusion, the correct option is C. 192.5 in^3.