Question

find the surface area and the diagonal of a cube,whose edge is 18cm

Answer 1

Answer is : 1944cm


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Answer 2

total surface area of cube = 6*l*l
curved surface area of cube = 4*l*l

hence,

total surface area of given cube =
6 * 18 * 18 = 1944 sq.cm

curved surface area of given cube =
4 * 18 * 18 = 1296 sq.cm

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Explanation: diagonal of cube

General formula for the diagonal of a cube if each side of the cube = l

Use Pythagorean Theorem to get the diagonal across the base:

l2 + l2 = h2

And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:

h2 + l2 = d2

l2 + l2 + l2 = d2

3 * l2 = d2

d = √ (3 * l2) = l √3

So, if l = 18 then the answer is 18√3