The volume of a prism which has an altitude of 10 units and has a right triangle base with a hypotenuse of 13 units and a leg of 12 units is:

A) 780 units cubed.

B) 600 units cubed.

C) 325 units cubed.

D) 300 units cubed.

pwolfey
Nov 2, 2017

#1**+2 **

First, we have to find the missing leg length by using the Pythagorean Theorem:

13^{2} = 169, 12^{2} = 144, 169 - 144 = 25, 5^{2} = 25. So, base area = 30 units^{2}.

30 times 10 = 300. The answer is 300 units^{3}.

helperid1839321
Nov 2, 2017

#1**+2 **

Best Answer

First, we have to find the missing leg length by using the Pythagorean Theorem:

13^{2} = 169, 12^{2} = 144, 169 - 144 = 25, 5^{2} = 25. So, base area = 30 units^{2}.

30 times 10 = 300. The answer is 300 units^{3}.

helperid1839321
Nov 2, 2017