Question

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? image of a pyramid with 8 in., 5 in., 6 in. labeled type the answer in the box. cubic inches

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 $A = \frac{1}{2} \times base \times height$. From the diagram, the base of the triangular base is 6 in and the height of the triangular base is 5 in. So, $B=\frac{1}{2} \times 6 \times 5 = 15$ square inches.

Step2: Identify the height (h) of the pyramid

From the diagram, the height (h) of the pyramid is 8 in.

Step3: Calculate the volume (V) using the formula $V=\frac{1}{3}Bh$

Substitute $B = 15$ and $h = 8$ into the formula: $V=\frac{1}{3} \times 15 \times 8$. First, $\frac{1}{3} \times 15 = 5$. Then, $5 \times 8 = 40$.

Answer:

40