Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the volume of this rectangular pyramid? 20 m 17 m 15 m cubic me…

Question

what is the volume of this rectangular pyramid? 20 m 17 m 15 m cubic meters

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular - pyramid is $V=\frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height.

Step2: Calculate base area

The base is a rectangle with length $l = 17$ m and width $w = 15$ m. The area of the base $B=l\times w=17\times15 = 255$ square - meters.

Step3: Calculate volume

The height $h = 20$ m. Substitute $B = 255$ and $h = 20$ into the volume formula: $V=\frac{1}{3}\times255\times20$. First, $\frac{1}{3}\times255 = 85$, then $85\times20=1700$ cubic - meters.

Answer:

1700