Question

Find the value of x in the figure below if the volume is 234.9 m3.

Answer 1

waiting for the figure below...

Answer 2

answer options
x = 18.06

x = 54

x = 8.7

x = 9.03

Answer 3

@IMStuck

Answer 4

The formula for the volume of a triangular prism is V=1/2(base)(height)(length)

Answer 5

We know the volume already, so we have most of what need to do this.

Answer 6

so 234.9= 1/2*6*9*x ?

Answer 7

\[234.9=\frac{ 1 }{ 2 }(6)(x)(9)\]

Answer 8

That's right...what you typed! Now solve it for x.

Answer 9

x=???

Answer 10

x= 8.7 ?

Answer 11

yep! Good!

Answer 12

can you help me with this one?

Find the surface area of the right triangular prism below.

Answer 13

@IMStuck

Answer 14

BRB ok?

Answer 15

sure

Answer 16

The formula for the surface area for that is this:
SA=2B+(p)(h) where B is the area of the base (you have two of them, both triangles), p is the perimeter of the bases, and h is the height of the prism.

Answer 17

so what would the set up equation be ?

Answer 18

We need to find the area of the triangles first. So let's do that.

Answer 19

A=1/2(b)(h)...your values are 8 and 6, so A = 1/2(48) which is 24. So your bases are 24 each. NOW let's fill in the formula!

Answer 20

Well we can't do that yet until we find the hypotenuse of the right triangle base. The legs are 6 and 8 so the hypotenuse is 10. We need that to find the perimeter of the base, p.
So the perimeter is 6+8+10=24. Can we fill this formula in now, or what!?!?

Answer 21

SA=2(24)+24(15)
SA=48+360
SA=408 inches squared

Answer 22

That's your answer!

Answer 23

OHHHh I get this now! thank you somuch! @IMStuck