Multiple choice

The volume and the total surface area of a solid right pyramid of height $4 cm$, and square base of side $6 cm$.

  1. $24cc, 86 sq. cm.$
  2. $48cc. 90 sq. cm.$
  3. $24cc, 80 sq. cm.$
  4. $48cc, 96 sq. cm.$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of pyramid = (1/3) * base_area * height = (1/3) * (6*6) * 4 = 48 cc. Slant height s = sqrt(height^2 + (side/2)^2) = sqrt(4^2 + 3^2) = 5. Lateral surface area = 4 * (1/2 * side * s) = 4 * (1/2 * 6 * 5) = 60. Total surface area = base_area + lateral_area = 36 + 60 = 96 sq cm.

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