Question

What is the volume of a triangular prism with a height of 7 inches and a base that is an equilateral triangle with sides of 6 inches?

Answer 1

c)147

Answer 2

$$
\text{keep in mind that the area}\\
\text{ for an equilateral triangle is:}\\
A= \cfrac{\sqrt{3}\times s^2}{4}\\
$$
and in this case your s=6
what would be the area of your base triangle?

Answer 3

18?

Answer 4

is it?

Answer 5

$$
A= \cfrac{\sqrt{3}\times \color{blue}{6}^2}{4} = 18?\\
$$

Answer 6

15.59

Answer 7

well, \(9\sqrt{3}\), yes, now, to get the volume, just as you can see in the picture, that gives you 2 dimensions, the Length dimensioin is 7, THAT number times 7, is the volume

Answer 8

\(7 \times 9\sqrt{3}\), is the volume, length * width * height