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A triangular pyramid has a triangular base with height of 1.5 inches and base length of 4 inches, and height of 9 inches. What is the volume?

18 cubic inches
27 cubic inches
3 cubic inches
9 cubic inches

User Diarmid Roberts
by
3.1k points

1 Answer

8 votes
8 votes

Answer:

V = 9 in^3

Explanation

Comment

The formula for a Pyramid of any B is V = B * h / 3. You have to be able to calculate the Base or just be given in it.

In this case the Base is a triangle. So the first thing needed is the area of the base.

Base

Area_triangle = base length * height / 2

Neither the Base length nor the height need to be the same as the B and h used for the volume of the Pyramid

Givens

b = 4 inches

h = 1.5 inches

Area_triangle = 4 * 1.5 / 2

Area_triangle = 2 * 1.5

Area_triangle = 3 inches^2

Solution

Base (triangle) Area = 3

h = 9

V = B * h / 3

V = 3 * 9 / 3

V = 9 cubic inches

Answer V = 9 in^3

User Punitcse
by
3.2k points