Question
Download Solution PDFThe base of a right pyramid is an equilateral triangle with side 8 cm, and its height is 30 \(\sqrt{3}\) cm. The volume (in cm3)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Side of equilateral triangle = 8 cm
Height = 30 \(√{3}\) cm
Formula used:
The volume of the pyramid (V) = (1/3) × Base Area × Height
Area of equilateral triangle = (√3/4) × a2 (where a is the side of the equilateral triangle)
Calculations:
⇒ Area of triangle = (√3/4) × 8 × 8
⇒ Area of equilateral triangle = 16√3 cm2
⇒ The volume of pyramid = (1/3) × 16√3 × 30√3
⇒ V = 480 cm3
∴ The volume of the pyramid is 480 cm3
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