Question

Question 7

What is the volume of the pyramid? (Round to the nearest tenth)
11.2 m
11 m
8m

Answer 1

V = 58.7 m^3

Explanation:

The formula is V = 1/3 *b*h

where b is the base area

h is the height

From the diagram,

h= 11m

Now we need to find the area of the base.

The base is made of an equilateral triangle, so we know that one of the sides is 8m.

The area of the base is found: 1/2 * a * l

Where a = 8m

l = a/2 = 8m/2 = 4m

So the area of the base is:

b = 1/2 * 8 m* 4m

b = 16m^2

Now plug this into the volume formula:

V = 1/3 b * h

V = 1/3 * 16m^2 * 11m

V = 58.7 m^3