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?

Answer 1

length times area is vol, which is 36 I believe... If I have the right equation. If not, sorry :)

Answer 2

Let me give you the answer options

Answer 3

24cm3
12sqrt3 cm3
48cm3
8sqrt3 cm3

Answer 4

Let's find area of the equilateral triangle with side 4
length of perpendicular= \(\sqrt{4^2-2^2}=\sqrt {12}=3.46 cm \)
Area of equilateral triangle=\(\frac{1}{2} \times 3.46 \times 4=6.92 cm^2\)
Volume = area * height= \(6.92\times 3=20.76 cm^2\)

Answer 5

So do I just put my new numbers in place of the ones in the problem

Answer 6

Yeah, find area of equilateral triangle and take the product of it with height

Answer 7

I don't know where these values are coming from. I am not that far along in math

Answer 8

Area of equilateral triangle =\(\frac{\sqrt{3}
}{4}a^2\)
a= side of equilateral triangle
Volume= area of equilteral triangle \(\times\) height