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 .
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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
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