5. Volumes of Pyramids and Cones
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Use the formula for the volume of a pyramid.
562.9 ft^3
Let's take a look at the given square pyramid.
The base of the pyramid is a square with the side length of 11ft. Let's calculate its area! B = s^2 ⇒ B = 11^2 B= 121ft^2 We are given that the slant height l is 15ft. 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= 121, h= sqrt(194.75)
Multiply
1/b* a = a/b
Use a calculator
Round to 1 decimal place(s)