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 centimeters?

24 cm3

8 sqrt 3 cm3

12 sqrt 3 cm3

48 cm3

Answer 1

What's the formula to find any prism's volume?

Answer 2

V= A * H ?

Answer 3

Area of the base times the height, that's right, what's the area of the base?

Answer 4

Is the answer C?

Answer 5

Unfortunately, nope :(

Answer 6

We need the height of this triangle, with pythagorean's theorem
\(2^2+4^2=c^2\\20=c^2\\c=\sqrt{20}=2\sqrt{5}\)