Find the volume of a cube- one face of which has an area of 64 -m-2-

Question

Toppr Admin · Accepted Answer

Area of one face of cube-64m2Let side of cube-xmAccording to problem-x2-64x-x221A-64x-8-x2234- Side of cube-8mVolume of cube-side-3-8-3-512m3-x2234- Volume of cube-512m3-

Find the volume of a cube, one face of which has an area of $64 m^{2}$ .

Area of one face of cube $= 64 m^{2}$
Let side of cube $= x$ m
According to problem,
$x^{2} = 64$
$x = \sqrt{64}$
$x = 8$
$∴$ Side of cube $= 8$ m
Volume of cube $= (s i d e)^{3}$
$= (8)^{3}$
$= 512 m^{3}$
$∴$ Volume of cube $= 512 m^{3}$ .

Find the volume of a cube, one face of which has an area of 64m2.

Area of one face of cube=64m2Let side of cube=xmAccording to problem,x2=64x=√64x=8∴ Side of cube=8mVolume of cube=(side)3=(8)3=512m3∴ Volume of cube=512m3.

Find the volume of a cube, one face of which has an area of $64 m^{2}$ .

Area of one face of cube $= 64 m^{2}$
Let side of cube $= x$ m
According to problem,
$x^{2} = 64$
$x = \sqrt{64}$
$x = 8$
$∴$ Side of cube $= 8$ m
Volume of cube $= (s i d e)^{3}$
$= (8)^{3}$
$= 512 m^{3}$
$∴$ Volume of cube $= 512 m^{3}$ .