Question

volume of cube 64cu.cm find the side of cube and total surface area of cube and lateral surface area​

Answer 1

Step-by-step explanation:

volume of cube=a*a*a

=64=a^3

=a=8

Answer 2

volume of the cube is 64cu.cm

To find

side of cube

total surface area

lateral surface area

Solution

Let a is side of cube

then

$volume \: of \: the \: cube = {a}^{3} \\ 64 = {a}^{3} \\ a = 4$

$total \: surface \: area = 6 \times {a}^{2} \\ = 6 \times {4}^{2} \\ = 6 \times 16 \\ = 96$

$lateral \: surface \: area \: = 4 \times {a}^{2} \\ = 4 \times 16 \\ = 64$

hence side of cube is 4cm

hence side of cube is 4cmtotal surface area of cube is 96 cm sq.

hence side of cube is 4cmtotal surface area of cube is 96 cm sq.lateral surface area of cube is 64 cm sq.