the formula for the volume of a pyramid is $v = \\frac{1}{3}bh$, where $b$ is the area of the base of the…
the formula for the volume of a pyramid is $v = \\frac{1}{3}bh$, where $b$ is the area of the base of the pyramid and $h$ is the height of the pyramid. what is the volume of this pyramid in cubic inches?
Answer
Explanation:
Step1: Find the area of the base (B)
The base of the pyramid is a triangle. The formula for the area of a triangle is $B=\frac{1}{2}\times base\times height$. Here, the base of the triangular base is 6 in and the height of the triangular base is 5 in. So, $B = \frac{1}{2}\times6\times5$. Calculating that: $\frac{1}{2}\times6\times5 = 3\times5 = 15$ square inches.
Step2: Use the pyramid volume formula
The volume formula for a pyramid is $V=\frac{1}{3}Bh$, where $B = 15$ (from Step 1) and $h = 8$ (the height of the pyramid). Substitute these values into the formula: $V=\frac{1}{3}\times15\times8$. First, $\frac{1}{3}\times15 = 5$. Then, $5\times8 = 40$.
Answer:
40