Question

The square on the diagonal of a cube has an
area of 1875 sq. cm. Calculate :
(i) the side of the cube.
(u) the total surface area of the cube.
​

Answer 1

The square on the diagonal of a cube has an area of 1875 sq. cm Calculate the side of the cube.

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ANSWER

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