1 Answer

Goldsmith · Answer 1 · 2021-07-06T23:40:24+0000

Answer:

120 cm³

Explanation:

First we have to find out area of the base

s = (a + b + c)/(2)

= (5 + 12 + 13)/(2)

= (30)/(2)

= 15

Area of base =
√(s(s - a)(s - b)(s - c))

= √(15(15 - 5)(15 - 12)(15 - 13))

= √(15 * 10 * 3 * 2)

= √(5 * 3 * 5 * 2 * 3 * 2)

= 2 * 3 * 5

$= 30 \: {cm}^(2)$

Now, let's find the volume of triangular pyramid

= (1)/(3) * a * h

= (1)/(3) * 30 * 12

$= 120 \:$ cm³

Hope this helps..

best regards!!