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find the volume of the pyramid. 11 cm 8 cm 6 cm a. 528 cm³ b. 264 cm³ c…

Question

find the volume of the pyramid.
11 cm
8 cm
6 cm
a. 528 cm³
b. 264 cm³
c. 152 cm³
d. 88 cm³

Explanation:

Answer:

The volume formula for a pyramid is \(V=\frac{1}{3}Bh\), where \(B\) is the base - area and \(h\) is the height. If the base is a right - triangle with legs \(a = 6\mathrm{cm}\) and \(b = 8\mathrm{cm}\), then the base area \(B=\frac{1}{2}\times6\times8 = 24\mathrm{cm}^2\), and the height \(h = 11\mathrm{cm}\). So \(V=\frac{1}{3}\times24\times11=88\mathrm{cm}^3\). The answer is d. 88 \(cm^3\)