Question

A solid metal bar is in the shape of a cuboid of length 250 cm and volume 4840 cm³. The cross-section is a square of side x cm. Find x.

Answer 1

We have,

A solid metal bar is in the shape of a cuboid of length 250 cm and volume 4840 cm³.

Now we know that,

Volume of a cuboid = (Length) × (Breadth) × (Height)

Given that, the cross-section is a square of side x cm

Then,

Volume of a cuboid = Area of square × Length

Volume of a cuboid = x × x × Length

x² × 250 = 4840

`x^2 = 4840/250 = 19.36`

`x = sqrt(1936/100)`

= `44/10`

= 4.4 cm

Therefore, the value of x is 4.4 cm