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 = $\frac{1}{3}bh$ 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 base - area

The base is a square with side length $a = 18$ m. The area of a square $B=a^{2}$, so $B = 18^{2}=324$ m².

Step2: Calculate volume

The volume formula of a pyramid is $V=\frac{1}{3}Bh$, where $B = 324$ m² and $h = 40$ m. Substitute the values into the formula: $V=\frac{1}{3}\times324\times40$. First, $\frac{1}{3}\times324 = 108$, then $108\times40=4320$ m³.

Answer:

D. $4,320$ m³