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Natalija [7]
3 years ago
6

7th grade math problem! Please help!

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Volume of the hexagonal prism = 1732.7772 ft³

Solution:

Height of the prism (H) = 15.4 ft

Side of the hexagon base (b) = 6.58 ft

Height from center to the side length (h) = 5.7 ft.

Let us first find the area of the base.

Area of the base (B) =  6\times\frac{1}{2}\  bh

                                 $=6\times\frac{1}{2}\times 6.58 \times 5.7

Area of the base (B) = 112.518 ft²

To find the volume of the hexagonal prism:

Volume of the hexagonal prism = Area of the base × Height

                                                     = 112.518 × 15.4

                                                     = 1732.7772 ft³

The volume of the hexagonal prism is about 1732.7772 ft³.

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