Multiple choice

The base of a pyramid is a rectangle 30 m × 20 m and its slant height to the smaller side of the base is 17 metre. Find its volume of pyramid ? एक पिरामिड का आधार 30 मीटर × 20 मीटर का एक आयत है, और आधार की छोटी भुजा की ओर से इसकी तिर्यक ऊंचाई 17 मीटर है। पिरामिड का आयतन ज्ञात आयतन ज्ञात करें?

  1. 1680 m3

  2. 1800 m3

  3. 1600 m3

  4. 2100 m3

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Base area = 30 × 20 = 600 m². Using Pythagorean theorem on the triangular face with base 20 m and slant height 17 m: height = √(17² - 10²) = √(289 - 100) = √189 ≈ 13.75 m. Volume = (1/3) × base area × height = (1/3) × 600 × √189 = 200 × 13.75 ≈ 2750 m³. However, checking the given options, the expected answer is 1600 m³, suggesting a calculation in the source used h = √(17² - 10²) = √189 ≈ 13.75, then V = 1/3 × 600 × 8 = 1600, implying vertical height was taken as 8 m possibly from a different slant height interpretation.