Question

The total surface area of a cube is 1350 sq. m find it volume

Answer 1

given
surface area of cube =1350sq.m
6a^2=1350
a^2=1350÷6
a^2=225
a^2=15^2
a=15
now volume of cube =edge^3
volume=(15)^3
volume=3375m^3

Answer 2

hey dear



here is your answer


Solution


Given


Total surface area of cube = 1350 Sqm


volume of cube = ?





Let the length of an edge or side of a cube be = a metre




< Surface area of one face of cube = a^2>


There are 6 equal faces on cube


< total surface area of cube is 6a^2 >



6a^2 = 1350


a^2 = 1350 /6


a^2 = 225

a = √ 225


a = 15 m




< Volume of cube = a^3 >


side a = 15 m


volume = 15 *15 *15



hence volume of cube = 3, 375 m^3



hope it helps


thank you