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0 votes
1.2k views
in Surface Areas And Volumes by (15 points)
edited by

How much area (in sq.units) will a cube of volume a2 cubic units cover on the floor.

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2 Answers

+1 vote
by (425 points)
There are total 6 faces. Therefore,

TSA of cube = a2 + a2 + a2 + a2 + a2 +a2

TSA of cube = 6a2

Now, we know, by the formula of area of a square;

Area = Side2 = a2

Therefore, the total surface area of a cube = 6 × (area of each side)

= 6 × a2 = 6a2 Square Unit

TSA = 6 a2

A = 6 (side)2

side2 = A/6
0 votes
by (41.2k points)

There are total 6 faces. Therefore,

TSA of cube = a2 + a2 + a2 + a2 + a2 +a2

TSA of cube = 6a2

Now, we know, by the formula of area of a square;

Area = Side2 = a2

Therefore, the total surface area of a cube = 6 × (area of each side)

= 6 × a2 = 6a2 Square Unit

TSA = 6 a2

A = 6 (side)2

side2 = A/6

side = √(A/6) = Edge length

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