Question

1. Find the side of a cube whose surface area is 486 cm2.​

Answer 1

Answer:

9

Step-by-step explanation:

Let side length of the cube = a cm

We know that

Total surface area of the cube = 6a ^2

Given

Total surface area of the cube = 486

Square cm

6a ^2 = 486

a^2 = 486/6

After cancellation

a^2 = 81

a = + or - sqrt(81)

a = 9 or -9

But side length should not negative.

Therefore

Side length of the cube = a = 9cm

I hope this will useful you.

Answer 2

Answer:

Let the side of a cube be a cm.

As, we know that

Surface area of a cube with side a is 6a 2.

Given surface area of a cube is 486 cm 2.

⟹6a 2 =486

⟹a 2 =81

⟹a=9

So side of a cube is 9 cm.