Question

if total surface area of a cube is 1014cm^2 find the lateral surface area and main diagonal of the cube​

Answer 1

$\huge\mathfrak{Answer:}$

Total surface area of a cube=1014 cm^2

6a^2=1014

a^2=1014/6

a^2=169

a=13 cm

Lateral surface area of cube=4a^2

=4(13)^2

=676 cm^2

Diagonal of cube=√3a

=√3(13)

=13√3 cm

Answer 2

SOLUTION:-

Given,

Total surface area of cube = 1014cm²

TSA of cube = 6a²

So,

6a²= 1014

=) a²= 1014/6

=) a²= 169

=) a²= (13)²

=) a= 13cm

length of side of cube= 13cm

&

Lateral surface area of cube= 4a²

=) 4a²

=) 4(13)²

=) 4× 169

=) 676cm²

Now,

Diagonal of cube = √3a

=) √3× 13cm

=) 1.73× 13cm

=) 22.49cm

Hope it helps ☺️