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.
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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) (Show Source): You can put this solution on YOUR website!
?
Those are not the sides of the base of any right triangle shape.
Answer by ikleyn(52786) (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.
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