Question

Find the volume of the prism.

Answer 1

Hint:

Find the volume of the base, which is this triangle here



and multiply this base area by the height

Answer 2

13 * 13?

Answer 3

this is an equilateral triangle, so use the formula

\[\large A = \frac{s^2}{4}\sqrt{3}\]

A = area
s = side length (in this case, s = 13)

Answer 4

\[A = 169 \sqrt3 / (4)\]

Answer 5

good

Answer 6

multiply that by the height of 24 to get

\[\large V = 24*\frac{169}{4}\sqrt{3}\]

\[\large V = 6*169\sqrt{3}\]

\[\large V = 1014\sqrt{3}\]

and that's the exact volume, you use a calculator to find the approximate volume

Answer 7

1, 756.3

Answer 8

I'm getting 1,756.29951887484

If you round that to the nearest tenth, then you get 1,756.3, so you are correct (assuming you round this way)