Question

1.2
The square on the diagonal of a cube has an area of 1875sq.cm. Calculate
The side of the cube.
(m) The total surface area of the cube
Ans​

Answer 1

Step-by-step explanation:

Let the edge of the cube be x cm.

We know, length of diagonal of the cube =

3

×(edge of the cube)

Therefore, length of diagonal of the cube =

3

x cm.

The side of the square is equal to the length of diagonal of the cube.

Area of square drawn on diagonal of the cube = (

3

x)

2

cm

2

= 3x

2

cm

2

Therefore, 3x

2

=1875cm

2

....[given]

⇒x

2

=625cm

2

⇒x=25 cm

Edge of the cube = 25 cm

Total surface area= 6x^2

=3750