Question

What is the volume of a triangular prism with a height of 3 centimeters and a base that is an equilateral triangle with sides of 4 centimeterss??

Answer 1

A- 24 cm3

B-12 radical 3 cm3

C- 48 cm3

D- 8 radical 3cm3

Answer 2

B-12 radical 3 cm3
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V = B h where B is the area of the base and h is the height
The base is an equilateral triangle of side 4.
A speciality formula for finding the area of an equilateral triangle is (side)^2 *times square root of 3 all divided by 4.
So, the area of the triangle is 4√3.
V = B h
V = 4√ 3 * 3
V = 12√ 3 cubic centimeters