Question

If total surface area of cube is 1014 square. cm, find the lateral surface area and main diagonal of the cube

Answer 1

Given, total surface area of a cube

=1014 cm^2

since, we know that

total surface area of cube = 6 a^2

where a is the edge of cube . , so now

6 a^2 = 1014

a^2 = 1014 / 6 = 169

a = √169

a = 13 cm

lateral surface area of cube = 4 a^2

=4 ( 13 )^2

=4 × 169

=676 cm^2

main diagonal of a cube = √3 a

=√3 × 13 = 13√3 cm

therefore ,

lateral surface area of cube = 676cm^2

main diagonal = 13√3 cm
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Your Answer: 676 cm^2 , 13√3 cm
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