Question

In a rectangular solid l : b : h = 5 : 4 : 2. If its volume is 1080 cm³, find the dimensions of the solid.

Answer 1

We have,

In a rectangular solid l : b : h = 5 : 4 : 2. If its volume is 1080 cm³,

Let the length of the rectangular solid be 5x cm

The breadth of the rectangular solid be 4x cm

And the height of the rectangular solid be 2x cm

Now, the volume of the rectangular solid is l × b × h, where l is the length, b is the breadth and h is the height.

Then,

1080 = 5 × 4 × 2

1080 = 40x³

x³ = 27

x = 3

Therefore, the dimensions of the rectangular solid are,

Length = 5 × 3 = 15 cm

Breadth = 4 × 3 = 12 cm

Height = 2 × 3 = 6 cm