Mathematics: What is the volume of the square pyramid with base edges 18 m and slant height 15 m? 1296 m3 3965 m3 4860 m3 1144 m3

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What is the volume of the square pyramid with base

porterdylan15

18.01.2022

First option

Step-by-step explanation:

1. You must apply the following formula for calculate the volume of a square pyramid:

$V=\frac{b^{2}*h}{3}$

Where h is the height and b is a side of the base.

2. Calculate the height by applying the Pythagorean Theorem:

$h=\sqrt{(15m)^{2}-(\frac{18m}{2} )^{2}}=12m$

3. Therefore, the volume is:

$V=\frac{(18m)^{2}*12m}{3}=1296m^{3}$

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