Calculate the volume of the regular three dimensional figure drawn above, where

Calculate the volume of the regular three dimensional figure drawn above, where < ABC = 90° (a right- angled triangle).

Correct Answer: Option D

Explanation

|AC| = |DF| = 13 cm

Using Pythagoras theorem,

|AC|(^2) = |AB|(^2) + |BC|(^2)

13(^2) = 12(^2) + |BC|(^2)

|BC|(^2) = 169 – 144 = 25

|BC| = (sqrt{25})

= 5 cm

Volume of triangular prism = (frac{1}{2} times base times length times height)

= (frac{1}{2} times 5 times 12 times 18)

= 540 cm(^3)

There is an explanation video available below.