Question

a cubic has total surface are of 86 sq.m and it's lateral surface are is 32 sq.m. Find the area of the base.

Answer 1

let edge of cube be a
4a^2=32
a^2=32/4
a^2=8
area of base=8sq unit

Answer 2

LSA
$= 4a {}^{2}$
$4a {}^{2} = 32 \\ a {}^{2} = 32 \div 4 \\ a = \sqrt{8} \\ a = 2 \sqrt{2}$
so side is 2root2
therefore area of base circle is
$4 \times side \\ 4 \times 2 \sqrt{2} \\ 8 \sqrt{2} is \: area \: of \: base \:$