Problem

Find the volume of a pyramid with a square base, where the perimeter of the base is $4.1 \mathrm{~m}$ and the height of the pyramid is $1.7 \mathrm{~m}$. Round your answer to the nearest tenth of a cubic meter.

Answer

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Answer

\(\boxed{0.6}\) cubic meters is the approximate volume of the pyramid

Steps

Step 1 ：Find the side length of the square base: \(side\_length = \frac{perimeter}{4} = \frac{4.1}{4} = 1.025\)

Step 2 ：Find the area of the square base: \(base\_area = side\_length^2 = 1.025^2 = 1.050625\)

Step 3 ：Find the volume of the pyramid: \(volume = \frac{1}{3} \times base\_area \times height = \frac{1}{3} \times 1.050625 \times 1.7 = 0.5953541666666666\)

Step 4 ：\(\boxed{0.6}\) cubic meters is the approximate volume of the pyramid

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