SOLUTION: A right prism base is a triangle whose sides are 10 cm, 12 cm and 14 cm . Find the volume and the area of the prism if its height is 20 cm.

Algebra ->  Rectangles -> SOLUTION: A right prism base is a triangle whose sides are 10 cm, 12 cm and 14 cm . Find the volume and the area of the prism if its height is 20 cm.      Log On


   



Question 1178189: A right prism base is a triangle whose sides are 10 cm, 12 cm and 14 cm . Find the volume and the area of the prism if its height is 20 cm.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
10%5E2%2B12%5E2=14%5E2 ?
100%2B144=196
244%3C%3E196
Those are not the sides of the base of any right triangle shape.

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

Use the Heron's formula to find the area of the base triangle.

On Heron's formula see everywhere;  for example,  you may look into the lessons
    - Proof of the Heron's formula for the area of a triangle
    - One more proof of the Heron's formula for the area of a triangle
    - Solved problems on area of triangles
in this site.

To facilitate the boring calculations, you may use an online calculator
https://keisan.casio.com/exec/system/1223267646


In any case,  the area of this triangle is about  52.788 cm^2   (rounded).

Hence,  the volume of the right prism is the product

Volume = 52.788*20 = 1055.76 cm^3.             ANSWER

The problem is just solved.


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The post by @josgarithmetic makes no sense,

so you better ignore it, for your safety.


He simply doesn't know definitions of terms related to this area.