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3 years ago

Volume of prisms & cylinders maze

Mathematics

1 answer:

german3 years ago

3 0

Answer:

221.4 m³

Step-by-step explanation:

The volume of the triangular prism shown is given by the formula ...

V = Bh

where B is the area of the triangular base, and h is the height between bases.

The area of the triangular base is given by ...

B = (1/2)bh

where b is the base of the triangle, and h is the perpendicular distance to the opposite vertex.

Here, we have ...

B = (1/2)(12 m)(4.1 m) = 24.6 m²

Then the volume is ...

V = (24.6 m²)(9 m) = 221.4 m³

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