Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the formula for the volume of a pyramid is $v=\frac{1}{3}bh$, where $b$…

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? 8 in. 5 in. 6 in. type the answer in the box. cubic inches

Explanation:

Step1: Calculate base - area

The base is a rectangle with length 6 in and width 5 in. The area formula for a rectangle is $B = l\times w$. So, $B=6\times5 = 30$ square inches.

Step2: Calculate volume

The volume formula of a pyramid is $V=\frac{1}{3}Bh$. We know $B = 30$ square inches and $h = 8$ inches. Then $V=\frac{1}{3}\times30\times8$. First, $\frac{1}{3}\times30 = 10$, and $10\times8=80$ cubic inches.

Answer:

80