Problem

A pyramid has a square base with a side length of 6 cm. The height of the pyramid is 8 cm. What is the volume of the pyramid?

Answer

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Answer

So, \(V = \frac{1}{3} \times 36 cm^{2} \times 8 cm = 96 cm^{3}\).

Steps

Step 1 ：The formula for the volume of a pyramid is given by \(V = \frac{1}{3}bh\), where \(b\) is the area of the base and \(h\) is the height.

Step 2 ：First, we need to calculate the area of the base. The base is a square with side length 6 cm, so \(b = 6 cm \times 6 cm = 36 cm^{2}\).

Step 3 ：Next, we substitute \(b = 36 cm^{2}\) and \(h = 8 cm\) into the volume formula \(V = \frac{1}{3}bh\).

Step 4 ：So, \(V = \frac{1}{3} \times 36 cm^{2} \times 8 cm = 96 cm^{3}\).

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