Question

The base of a triangular prism is a right triangle with hypotenuse 10 m long and one leg 6 M. If the height of the prism is 12 M, what is the volume of the prism

Answer 1

Comment
Use a^2 + b^2 = c^2
Then find the volume.

Step One
a^2 + b^2 = c^2
c = 10
b = 6

Find a
a^2 + b^2 = c^2
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 100 - 36
a^2 = 64
a = sqrt(64)
a = 8

Step Two
Find the volume
a = 8
b = 6
h = 12

V = 1/2 * a * b * h
V = 1/2 * 8 * 6 * 12
V = 288 m^3 <<<<<<< answer