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 (height of pyramid), 6 in (base of triangular base), 5 in (height of triangular base) type the answer in the box. cubic inches

Explanation:

Step1: Find the area of the base (B)

The base is a triangle with base 6 in and height 5 in. The area of a triangle is $B = \frac{1}{2} \times base \times height$. So, $B = \frac{1}{2} \times 6 \times 5 = 15$ square inches.

Step2: Use the pyramid volume formula

The volume formula is $V = \frac{1}{3}Bh$, where $h = 8$ in (the height of the pyramid) and $B = 15$ in². Substitute the values: $V = \frac{1}{3} \times 15 \times 8$.

Step3: Calculate the volume

First, $\frac{1}{3} \times 15 = 5$. Then, $5 \times 8 = 40$.

Answer:

40