Question

What is 54.588 in square root form? Please help.

Answer 1

do you have an example of what you mean ?

Answer 2

I'm trying to find 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. My answer so far is 54.588, but 2 of the answers I'm given are in square root form.. I'm just confused. I feel like I've done my work right, but the square roots are throwing me off.

Answer 3

It is easiest to start at the beginning. (square roots have decimals that go forever, and 54.588 is an approximation)

Answer 4

the area of the equilateral triangle with side = 6 is
\[ \frac{s^2 \sqrt{3}}{4} \]
using s=6 we get

\[ \frac{36 \sqrt{3}}{4} = 9 \sqrt{3}\]

Answer 5

now multiply by the height 7 to get the volume
\[ 63\sqrt{3} \]

Answer 6

Then don't you have to divide that by 2? How do you divide a square root by 2?

Answer 7

why do you want to divide by 2 ?

and yes, you could divide a square root by 2

Answer 8

this is a by the way
\[\frac{ \sqrt{a}}{b} = \sqrt{\frac{a}{b^2} }\]
if you wanted to do that.

Answer 9

the are of a triangle is
Area = \( \frac{1}{2} b\cdot h\)
1/2 the base times the height

but for the equilateral triangle, you can use a different formula
\[ Area = \frac{s^2 \sqrt{3}}{4} \]

Answer 10

Ohh, okay.. so I don't need to divide by 2 at all?

Answer 11

That's relieving. xD

Answer 12

Thank you so much. <3