Question

what is the volume of a right square pyramid with a base side of 5 centimeters and a height of 9 centimeters? 7 of 8 questio 45 cm³ 225 cm³ 75 cm³ 15 cm³

Explanation:

Step1: Calculate the base area

The base is a square with side \(a = 5\) cm. The area of a square \(A=a^{2}\), so \(A = 5^{2}=25\space cm^{2}\)

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h\) is the height. Given \(h = 9\) cm and \(A=25\space cm^{2}\), then \(V=\frac{1}{3}\times25\times9\)

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Answer:

75 \(cm^{3}\) (the third option)