Question

find the volume of a cube whose surface area is 586 CM square

Answer 1

surface area of cube is given by the formula 6a2
so 6a2 =586
a2 =586÷6
=97
therefore a= 97 ×97×97
=912673

Answer 2

surface area = 586cm square
volume of cube = surface area
${6a}^{2} = 586$

${a}^{2} = 586 \div 6$

${a}^{2} = 97.666666667$

$a = \sqrt{97.666666667}$
$a = 9.8826 \: approximately$
the formula of find volume of cube is acube so 9.8826 mulply thrice and e get .965.1918 (approx.)