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dybincka [34]
3 years ago
14

A prism has a right triangle as its base.

Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

168 cm³

Step-by-step explanation:

The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.

So, the third side of the triangle = \sqrt{10^{2}-6^{2}  }=8 cm.

{Since we have applied the Pythagoras theorem.}

Hence, the area of the base triangle is \frac{1}{2} \times 8 \times 6 = 24cm².

Therefore, the volume of the prism is = 24\times 7=168 cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}

(Answer)

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Answer:

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