Question

28. The volume of a cube whose lateral surface area is 486cm^2
is
a. 216cm3
b.512cm3
c.729cm3
d.1728cm3​

Answer 1

Answer:

SA = 6a^2

486/6=a^2

81=a^2

=a= 9 cm

Volume = a^3= 9^3=729. cm^3.

Hope it helps you.

Answer 2

we know,

lateral surface area of cube = 4a²

= {L. S. A. } = 4a²

= 486 → 4a²

= a² → 486 ÷ 4

= a² → 121.5 ( take 121 Cm ² for easy calculation)

= a → √121

= a → 11 cm