The base of a pyramid is an equilateral triangle of side 10 m. If the

1.	The base of a pyramid is an equilateral triangle of side 10 m. If the height of the pyramid is 40√3 m, then the volume of the pyramid is:1. 900 m32. 800 m33. 1000 m34. 1200 m3
Answer» Correct Answer - Option 3 : 1000 m³ Given - base of the pyramid is an equilateral triangle of side 10 m, height of pyramid = 40√3 m Formula used - volume of pyramid = (1/3) × area of base × height area of equilateral triangle = (√3/4) × side² Solution - Let the volume of pyramid be V m³. ⇒ Area of Equilateral triangle = (√3/4) × 10² = 25√3 m² ⇒ V = (1/3) × 25√3 × 40√3 ⇒ V = 1,000 m³ ∴ Volume = 1,000 m³.

The base of a pyramid is an equilateral triangle of side 10 m. If the height of the pyramid is 40√3 m, then the volume of the pyramid is:1. 900 m32. 800 m33. 1000 m34. 1200 m3

Answer» Correct Answer - Option 3 : 1000 m³

Given -

base of the pyramid is an equilateral triangle of side 10 m, height of pyramid = 40√3 m

Formula used -

volume of pyramid = (1/3) × area of base × height

area of equilateral triangle = (√3/4) × side²

Solution -

Let the volume of pyramid be V m³.

⇒ Area of Equilateral triangle = (√3/4) × 10² = 25√3 m²

⇒ V = (1/3) × 25√3 × 40√3

⇒ V = 1,000 m³

∴ Volume = 1,000 m³.

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The base of a pyramid is an equilateral triangle of side 10 m. If the height of the pyramid is 40√3 m, then the volume of the pyramid is:1. 900 m32. 800 m33. 1000 m34. 1200 m3

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