6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

Answer:

The volume of the prism is $1,299\ in^{3}$

Step-by-step explanation:

we know that

The volume of the prism is equal to

$V=BL$

where

B is the area of the triangular base

L is the length of the prism

we have

$L=30\ in$

The area of a equilateral triangle is equal to

$B=\frac{1}{2}(10)^{2} sin(60\°)$

$B=25\sqrt{3}\ in^{2}$

substitute

$V=(25\sqrt{3})(30)=1,299\ in^{3}$

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sp2606 [1]

Answer:

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Step-by-step explanation:

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Where,

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2 years ago

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qwelly [4]

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5 0

2 years ago

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mario62 [17]

Answer:

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