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olga2289 [7]
3 years ago
8

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, about how many cubic inches would you have eaten (ignoring the holes)?
420 in
193 in
385 in
210 in
Mathematics
1 answer:
Gala2k [10]3 years ago
4 0

Answer:

193 in

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is the base area multiplied by the wedge, that is:

V = A_bw

The base area is one half times the triangle base times it's height, so:

V = 0.5*b*h*w

The wedge of cheese is 7 inches tall.

This means that w = 7

The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.

This means that b = 11, h = 5

Volume:

V = 0.5*b*h*w = 0.5*11*5*7 = 192.5

Rounding, approximately 193 in.

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