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olga_2 [115]
4 years ago
15

Which solid has one base that is a triangle and three lateral surfaces that are triangles?

Mathematics
2 answers:
NemiM [27]4 years ago
6 0
If you try to draw the solid being described above, you will see that the sides (given to be triangular) will meet at a common vertex. The solid is therefore a pyramid. Given that the base is a triangle, the pyramid is more specifically referred to as TRIANGULAR PYRAMID. 
Alborosie4 years ago
3 0
I believe it is a triangular pyramid. 
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Answer:

\large\boxed{V=\dfrac{700\pi}{3}\ in^3\approx732.67\ in^3}

Step-by-step explanation:

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

<em>r</em><em> - radius</em>

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We have the diameter <em>2r = 10in → r = 5in</em>, and the height <em>H = 28in.</em>

Substitute:

V=\dfrac{1}{3}\pi(5^2)(28)=\dfrac{1}{3}\pi(25)(28)=\dfrac{700\pi}{3}\ in^3

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