Question

A godown of floor area 48m2 can just hold 200 boxes of length 1.5m breath 1m and height 80cm. Find the height of the godown

Answer 1

Given:

Area of the floor of the godown = 48 m²

No. of boxes that the godown can hold = 200

The dimensions of each box:

length = 1.5 m

breadth = 1 m

height = 80 cm = 0.8 m

To find:

The height of the godown

Solution:

Let "h" be the height of the godown.

We know that,

Volume of a cuboid = length × breadth × height = Area of base × height

∴ The volume of the godown = 48 × h = 48h m³

Also, the volume of each box = 1.5 × 1 × 0.8 = 1.2 m³

Now, the no. of boxes that can fit in the godown which is calculated as follows:

$No. \:of \:boxes\: in\: the\: godown = \frac{Volume\: of\: the\; godown}{Volume \:of\: each\: box}$

By substituting the values, we get

$200 = \frac{48h}{1.2}$

⇒ $48h = 200\times1.2$

⇒ $48h = 240$

⇒ $h = \frac{240}{48}$

⇒ $\bold{h = 5\:m}$

Thus, the height of the godown is 5 m.

--------------------------------------------------------------------------------------------

Also View:

A Godown is in the form of cuboid of measure 60 m ×40 m × 30 m how many cuboidal boxes can be stored in it if the volume of one box is 0.8 m³?

https://brainly.in/question/6700484

A godown is in the form of a cuboid of measure 55m ×45m×30m how many cuboidal boxes can be stored in it if the volume of one box is 1.25m?

https://brainly.in/question/7562082

If volume of godown is 5000m³ and the volume of box is 10m³ then how many boxes can be fit in the godown ?

https://brainly.in/question/14739940