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Vanyuwa [196]
3 years ago
8

A triangular pyramid has the same base and height as a triangular prism. The volume of the pyramid is 26 cubic centimeters. What

is the volume of the triangular prism?
Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
8 0
The formula for the volume of a triangular pyramid is:

V=1/3AH (where A=area of the base and H=height)

The formula for the volume of a triangular prism is:

V=AH (where A=area of the base and H=Height)

Since the base and the height are the same in this problem for both the prism and the pyramid, solving for the volume of the prism is simple.

Looking at the formulas, you'll see that the volume of the pyramid (assuming that both the height and the area of the base are the same) is 1/3 the volume of the prism.

V(pyramid)=1/3V(prism)

Now lets input the volume of the pyramid

26cm³=1/3 V(prism)
Divide both sides by 1/3
78cm³=V(prism)

Answer=78cm³
seropon [69]3 years ago
4 0

Answer:

140.4 ft

Step-by-step explanation:

Just answered it and got it right

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Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option  (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: a^2+b^2=c^2

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Option A:

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Option B:

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Option C:

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Option D:

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