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Soloha48 [4]
4 years ago
14

A triangular prism has base that is a right triangle.

Mathematics
1 answer:
Schach [20]4 years ago
3 0
The dimensions can vary. Here is a picture of a triangular prism with a right-triangle base.

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What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
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Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}

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       H = height

         We have to find 'H' using Pythagorean theorem,

              slant height (hypotenuse) = 28 mm

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                                                  leg₂ = H

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                  H²   = 784 - 156.25

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                   \sf H = \sqrt{627.75}

                 H = 25.01 mm

          \sf  \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }

                                                     = 5229 mm³

                                                     

       

\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}

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