Question

The total surface area of cube is 294cm². find its volume

Answer 1

solution:-

given that total surface area of a cube is $294cm^2$

Formula for total surface area of cube is $6l^2$

so, as per the question,

$6l^2=294cm^2$

$l^2=49cm^2$

l=7cm

Now finding the volume of cube with length 7 cm.

formula for volume of cube is side cube

volume of cube=$7×7×7cm^3$

volume of cube=$343cm^3$

Answer 2

surface area=294


Surface area of cube=6l²

As surface area is given mate=


WE HAD TO PUT IT IN FORMULA DISCUSSED ABOVE:



$surface \: area = \\ 6l { }^{2} = 294$
l²=294/6
l²=49
l=+-7


so we take l=+7


$volume = l \times l \times l$
v=7×7×7
=343cm³