Determine side of a cube whose total surface area is 1014 cm2. Find it

1.	Determine side of a cube whose total surface area is 1014 cm2. Find its volume also.
Answer» Let the side of cube be a cm. Then the total surface area of cube = 6a² .sq. m According to question 6a² = 1014 a² = 1014/6 = 169 a = √169 = 13 cm Hence the side of cube = 13 cm Volume of cube = (side)³ Hence 13 x 13 x 13 = 2197 cm³

Determine side of a cube whose total surface area is 1014 cm2. Find its volume also.

Answer»

Let the side of cube be a cm.

Then the total surface area of cube = 6a² .sq. m

According to question

6a² = 1014

a² = 1014/6 = 169

a = √169 = 13 cm

Hence the side of cube = 13 cm

Volume of cube = (side)³

Hence 13 x 13 x 13 = 2197 cm³