Question

The base of a right pyramid is a equilateral triangle of perimeter 8 dm and the height of the pyramid is 30√3 cm. Find the volume of the pyramid .

Answer 1

Answer:

Volume of Pyramid = 16000/3  cm³

Step-by-step explanation:

Volume of Pyramid = (1/3) * area of base * Height

Height = 30√3  cm

Base is equilateral triangle of perimeter 8 dm

1 dm = 10 cm

=> Perimeter = 80 cm

Side of a triangle = 80/3  cm

Area of Equilateral Triangle = (√3 / 4)*side²

= (√3 / 4 )(80 / 3)²

= 1600 √3 / 9

= 1600 / 3√3   cm²

Volume of Pyramid = (1/3) * (1600 / 3√3) *  30√3

= 16000/3  cm³

Volume of Pyramid = 16000/3  cm³