Question

find the volume of the given prism. Round to the nearest tenth if necessary.
2,028.0 yd3
1,756.3 yd3
1,434.0 yd3
3,512.6 yd3

Answer 1

What is the area of one of the triangular faces?

Answer 2

is it 13x13

Answer 3

not quite

Answer 4

then i am not sure

Answer 5

each triangular face looks like this

Answer 6

You would then use heron's formula to find the area of that triangle

Answer 7

so 2197, then what?

Answer 8

no you don't multiply each dimension like that, you would use this formula

A = sqrt(s*(s-a)*(s-b)*(s-c))

where s = (a+b+c)/2

and 'a', b and c are the side lengths of the triangle

Answer 9

or you can use this formula (since you have an equilateral triangle)


A = (sqrt(3)/4)*x^2


where x is the length of all 3 sides

Answer 10

so would the length be 39?

Answer 11

A = (sqrt(3)/4)*x^2

A = (sqrt(3)/4)*(13)^2

A = 73.179146619785

So the area of each triangular face is roughly 73.179146619785 square yards

Answer 12

Now multiply this by the height (24) and don't forget to round

Answer 13

1756.3?

Answer 14

I'm getting that too, congrats

Answer 15

thank you soo much!

Answer 16

yw