Question

the pyramid shown has a height of 40 meters, a slant height of 41 meters, and a square base with a side length of 18 meters. volume = 1/3 bh. b is the area of the base of the pyramid. h is the height of the pyramid. what is the volume of the pyramid? a. 240 m³ b. 480 m³ c. 960 m³ d. 4,320 m³ e. 4,428 m³

Explanation:

Step1: Calculate the base - area

The base is a square with side length $s = 12$ meters. The area of a square $B=s^{2}$, so $B = 12^{2}=144$ square meters.

Step2: Use the volume formula

The volume formula of a pyramid is $V=\frac{1}{3}Bh$, where $h = 20$ meters (height of the pyramid). Substitute $B = 144$ and $h = 20$ into the formula: $V=\frac{1}{3}\times144\times20$.
$V = 48\times20=960$ cubic meters.

Answer:

C. $960\ m^{3}$