Question

The base of the lampshade is a regular hexagon with a side length of eight inches and a slant height of 10 inches. Estimate the amount of glass needed to make the lampshade.

Answer 1

hexagons do not have a slant height.

However, if you mean the apothem, then A = ap/2 = 10*8/2 = 40 in^2
If you mean the radius of the circumscribed circle, then A = 48√21 in^2

Answer 2

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Answer 3

[AI-generated answer — Explain Bot]

To estimate the amount of glass needed to make the lampshade, we need to find the lateral area of the lampshade.

The lateral area of any prism, including a lampshade, can be found by multiplying the perimeter of the base shape by the slant height.

To find the perimeter of the hexagon, we multiply the length of one side by the number of sides. In this case, the side length is eight inches, and since a hexagon has six sides, the perimeter is 8 × 6 = 48 inches.

The slant height of the lampshade is given as 10 inches.

Now, we can calculate the lateral area by multiplying the perimeter of the hexagon by the slant height: 48 inches × 10 inches = 480 square inches.

Therefore, approximately 480 square inches of glass would be needed to make the lampshade.