The base of a triangular pyramid is an isosceles triangle of sides length are 5 cm, 5 cm and 6 cm. If the height of pyramid is 10 cm then find the volume of the pyramid.

Question

Question

Answer 1

Given:

The base of a triangular pyramid is an isosceles triangle of sides length are 5 cm, 5 cm and 6 cm

The height of pyramid is 10 cm

Calculation:

Let equal sides be a and unequal side be b

So, the area of isosceles triangle is \(= \frac{b}{4}\sqrt {4{a^2} - {b^2}} \)

So, the area of isosceles triangle is \(= \frac{6}{4}\sqrt {4 \times {5^2} - {6^2}}\)

⇒ 12 cm²

So, the volume of pyramid = 1/3 × 12 × 10

∴ 40 cm³