Question

TOTAL SURFACE AREA OF A CUBE IS 1350 SQ. M Find its volmume

Answer 1

here is your answer

given :

surface area of cube = 1350 m^2

to find : volume

solution :

total surface area of cube = 6a^2

1350 = 6a^2

a^2 = 1350/6

a^2 = 225

a = 15 m

now,

volume of cube = a^3

volume of cube = (15)^3

volume of cube = 3,375 m^3

so, volume of cube = 3,375 m^3

Answer 2

totol surface are of cube =1350
$6 {x}^{2} = 1350 \\ {x}^{2} = 1350 \div 6 \\ { x}^{2} = 225 \\ x = 15 \\ volume \: ofcube = {x}^{2} \times x \\ \\ = 15 \times 15 \times 15 \\ = 3375$