To find the total surface area of the hexagonal prism coffee table, we need to calculate the area of each individual face and add them together.
The formula for the lateral area of a regular hexagonal prism is:
Lateral Area = perimeter of base x height
The lateral area of one of the hexagonal faces (glass sides) is:
Lateral Area = (6 x side length) x height
Lateral Area = (6 x 10 cm) x 45 cm
Lateral Area = 60 cm x 45 cm
Lateral Area = 2700 cm²
Since there are 6 identical hexagonal faces on the coffee table, the total area of the glass sides is:
Total Glass Area = 6 x Lateral Area
Total Glass Area = 6 x 2700 cm²
Total Glass Area = 16200 cm²
Therefore, the furniture company needs 16200 cm² of glass to make one coffee table.
Therefore, the answer is 38.97 cm.
First choice interior makes a coffee table in the shape of a regular hexagonal prism. The top is made of wood, the sides of glass in the bottom of metal using the net to find how many centimeters squared of glass are needed for the furniture company to make one coffee table
90 cm
75 cm
38.97 cm
45 cm
1 answer
3 answers