Question

if the volume of a cube is 729 cm square‚ then its surface area is​

Answer 1

Answer: 486 square cm.

Step-by-step explanation:

We know that the area of a cube is a^3 cubic cm. where a is the length of the side

Now,

we consider x cm to be the length of all sides os the cube

therefore,

x^3 = 729

or, x ^3 = 9 ^3

or, x = 9

therefore the length of each side of cube is 9 cm

Again,

the total surface area of cube is 6(a^2) square cm. where a is the length of the side

So, the total surface area of cube is = 6 * (9^2)

                                                            = 6 * 81

                                                             = 486 square cm.

Answer 2

Answer:486 square cms

Step-by-step explanation:as we know that volume of a cube is given by cubing the given side,

• volume of cube = (side)^3
• 729 = (side)^3
• 729 = (9)^3 = (side)^3
• therefore, side = 9cm

we know that,

• surface area of cube = 6 × (side)^2
• surface area of cube = 6 × (9)^2
• surface area of cube = 6 × 81
• surface area of cube = 486 cm^2