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Use the formula for the volume of a pyramid.
363.6 m^3
Let's take a look at the given square pyramid.
To calculate the volume of a pyramid, we can use a known formula where B is the area of the base and h is the height. V=1/3Bh The base of the pyramid is a square with the side length of 10m. Let's calculate its area! B = s^2 ⇒ B = 10^2 B= 100m^2 We are given that the slant height l is 12m. Now let's focus on the right triangle created within the pyramid. The slant height of the pyramid is the hypotenuse of the triangle. The legs of the triangle are the height of the pyramid h and half of the side length of the pyramid.
B= 100, h= sqrt(119)
Multiply
1/b* a = a/b
Use a calculator
Calculate quotient
Round to 1 decimal place(s)