A shipping carton for a rolled-up poster has the shape of a triangular prism. Each end of the carton is a triangle with a base 6 inches long and a height of 5 inches. The length of the carton is 32 inches.

What is the volume of the carton?

A.
43 in3

B.
86 in3

C.
240 in3

D.
480 in3

Question

A shipping carton for a rolled-up poster has the shape of a triangular prism. Each end of the carton is a triangle with a base 6 inches long and a height of 5 inches. The length of the carton is 32 inches. 

What is the volume of the carton?
 
 A.
43 in3
 
 B.
86 in3
 
 C.
240 in3
 
 D.
480 in3

gnorris · Answer

D

judson_rockets · Answer

Thank you

gnorris · Answer

The area of a triangle is 
1/2∗b∗h

gnorris · Answer

It's just the base times the height divided by 2

gnorris · Answer

So since the base is 6 and the height is 5 the area for the triangle is! 15

gnorris · Answer

Now that we have the area of the triangle, the length of the prism is 32 inches

gnorris · Answer

So the area of the triangle (15 inches) times 32 inches should be the volume! 480