Question

Measurements 90 cm 75 cm 38.97 cm 45 cm

First choice interior makes a coffee table in the shape of a regular hexagon prism the top is made of wood and the sides of glass and the bottom of metal used the net to find how many cm of glasses is needed for furniture the company to make one coffee table

40, 500 cm
30, 772 cm
20,250 cm
17, 550 cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the total surface area of the hexagonal prism coffee table, we first need to calculate the area of each individual side.

The formula for the area of a regular hexagon is:

Area = ((3√3)/2) * s^2

Where s is the side length of the hexagon.

Given that the side lengths of the hexagon are 90 cm, the area of each side is:

Area = ((3√3)/2) * (90)^2 = 23,382.82 cm^2

Since there are 6 sides in a hexagon, the total area of the wood top is 23,382.82 cm^2 * 6 = 140,296.92 cm^2.

Given that the side lengths of the glass sides are 75 cm, the area of each side is:

Area = ((3√3)/2) * (75)^2 = 16,312.66 cm^2

Since there are 6 sides in a hexagon, the total area of the glass sides is 16,312.66 cm^2 * 6 = 97,875.96 cm^2.

Given that the side lengths of the metal bottom are 45 cm, the area of each side is:

Area = ((3√3)/2) * (45)^2 = 7,285.58 cm^2

Therefore, the total area of the metal bottom is 7,285.58 cm^2.

Adding together the areas of the wood top, glass sides, and metal bottom, we get:

140,296.92 cm^2 + 97,875.96 cm^2 + 7,285.58 cm^2 = 245,458.46 cm^2

Therefore, the furniture company would need a total of 245,458.46 cm^2 of glass to make one coffee table.