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

5/6

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Explanation:

Step1: Find base - area

The base is a right - triangle with legs 6 cm and 8 cm. The area of a right - triangle $A=\frac{1}{2}\times base\times height$. So, $A=\frac{1}{2}\times6\times8 = 24$ $cm^{2}$.

Step2: Use volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Ah$, where $A$ is the base - area and $h$ is the height of the pyramid. Here, $A = 24$ $cm^{2}$ and $h = 11$ cm. Then $V=\frac{1}{3}\times24\times11=88$ $cm^{3}$.

Answer:

d. $88$ $cm^{3}$