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Vlad [161]
3 years ago
8

A gift box in the shape of a cube has a volume of 216 cm3 . What is the area of the base of the box

Mathematics
1 answer:
Paul [167]3 years ago
3 0
The volume consists of L*W*H. Since it is a cube, each measurement will be the same. The cube is 6 for Length, width, and height. The SA for the base of the box is 36cm. 
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Step 1

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a=b=7 cm

C=60 degrees

so

Area=\frac{1}{2} *7*7*sin 60

Area=\frac{1}{2} *49*\frac{\sqrt{3}}{2}  \\ Area=49*\frac{\sqrt{3}}{4}cm²

Step 2

To calculate the area of the hexagon multiply the area of one equilateral triangle by 6

Area Hexagon=6*[49*\frac{\sqrt{3}}{4}]  \\ Area Hexagon=73.5*\sqrt{3}cm²

therefore

the answer is the option

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