High School

What is the volume of this right prism?

Responses



720 in³





780 in³





1440 in³





1560 in³

What is the volume of this right prism Responses 720 in³ 780 in³ 1440 in³ 1560 in³

Answer :

Answer: The volume of the right prism is 1560 in³.

Step-by-step explanation: The base area can be calculated by adding the area of the two triangles and the rectangle in between them. For the triangles, using the Pythagorean theorem, we find that their height is 12 inches. So, each triangle has an area of 0.51213 = 78 in². The rectangle has an area of 524 = 120 in². Adding these areas together gives a total base area of (78+78+120) = 276 in². Multiplying this by the prism’s height (5 inches) gives a volume of 2765 = 1560 in³.