Question

the total surface area of a cube is 1350 square metre. find its volume.​

Answer 1

Answer:

$total \: surface \: area \: of \: cube = 6l {}^{2} \\ 6l \ {}^{2} = 1350 \\ l {}^{2} = 1350 \div 6 \\ l {}^{2} = 225 \\ l = \sqrt{225 } \\ l = 15 \\ vol \: of \: cube = l {}^{3} \\ vol = 15 {}^{3} \\ vol \: = 3375$

Answer 2

Surface area of a cube = 6L^2( L= length)

Let Length be x = 6x^2=1350

x^2=1350÷6

x^2=225

x=√225

x=15m

Therefore,

Volume= l^3

V=15×15×15

=3375m^3