The base of a pyramid is an equilateral triangle of side 1 meter. If t

1.	The base of a pyramid is an equilateral triangle of side 1 meter. If the height of the pyramid is 4 meters, then the volume is:(a) 0.550 m3 (b) 0.577 m3 (c) 0.678 m3 (d) 0.750 m3
Answer» Answer: (b) 0.577 m² Volume of the pyramid =\(\frac{1}{3}\) × Area of base × Height = \(\frac{1}{3}\times \frac{\sqrt{3}}{4} \times (1)^2 \times 4 \,m^2 = \frac{1.732}{3}\) = 0.577 m²(approx)

The base of a pyramid is an equilateral triangle of side 1 meter. If the height of the pyramid is 4 meters, then the volume is:(a) 0.550 m3 (b) 0.577 m3 (c) 0.678 m3 (d) 0.750 m3

Answer»

Answer: (b) 0.577 m²

Volume of the pyramid =\(\frac{1}{3}\) × Area of base × Height

= \(\frac{1}{3}\times \frac{\sqrt{3}}{4} \times (1)^2 \times 4 \,m^2 = \frac{1.732}{3}\)

= 0.577 m²(approx)