Problem

A right square pyramid has base perimeter $62.4 \mathrm{~m}$ and height $6.4 \mathrm{~m}$. Calculate the volume of the pyramid to the nearest cubic metre.( 2 marks)

Answer

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Answer

\(\boxed{519}\) cubic meters

Steps

Step 1 ：Find the side length of the square base: \(\frac{62.4}{4} = 15.6\)

Step 2 ：Calculate the base area: \(15.6^2 = 243.36\)

Step 3 ：Find the volume of the pyramid: \(\frac{1}{3} \times 243.36 \times 6.4 = 519.168\)

Step 4 ：\(\boxed{519}\) cubic meters

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