Maths-

General

Easy

Question

# A square is drawn with the length of the side equal to the diagonal of the cube. if the square area is 72075 cm^{2}, then find the side of the cube?

Hint:

### Area of square=side × side=a²

Diagonal of cube= unit

## The correct answer is: 155 cm.

### The length of the square and the diagonal of the cube are coincided. Therefore, the value of the two will be equal.

- We are given that,

Area of the square=72,075 cm²

Side of square=Diagonal of cube

*Let the edge of the cube be 'a' cm.*

As we know,

length of the diagonal of cube= ×edge of the cube=a cm

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

- Area of square(drawn on diagonal of cube)

- We know that, area of square drawn on the diagonal of a cube= 72,075 cm²

Therefore,

Therefore , the side of the cube is 155 cm.

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