Question

class-9th
ch-13
ex-13.5
7.) A godown measures 40m×25m×15m.Find the maximum numbers of wooden crates each measuring 1.5m×1.25m×0.5m that can be stored in the godown ?​

Answer 1

7. A godown measures 40 m×25m×15 m. Find the maximum number of wooden crates each

measuring 1.5m×1.25 m×0.5 m that can be stored in the godown.

Solution:

From statement, we have

Length of the godown = 40 m

Breadth = 25 m

Height = 15 m

Whereas,

Length of the wooden crate = 1.5 m

Breadth = 1.25 m

Height = 0.5 m

Since godown and wooden crate are in cuboidal shape. Find the volume of each using formula, V = lbh.

Now,

Volume of godown = (40×25×15) m3 = 15000 m3

Volume of a wooden crate = (1.5×1.25×0.5) m3 = 0.9375 m3

Let us consider that, n wooden crates can be stored in the godown, then

The volume of n wooden crates = Volume of godown

0.9375×n =15000

Or n= 15000/0.9375 = 16000

Hence, the number of wooden crates that can be stored in the godown is 16,000.

Answer 2

$\LARGE\fbox\pink{Answer}$

$\: \: \:$

Given Measure = 40m×25m×15m

$\: \: \:$

Area of godown = 40×25×15 = 15,000 m.

$\: \: \:$

No:- of wooden measuring = 1.5m×1.25m×0.5m

$\: \: \:$

Are of wooden crate = 1.5m×1.25m×0.5m = 0.9375

$\: \: \:$

∴ No of crate = Area of godown/Area of crate

= $\LARGE\frac{1500}{0.9375}$

$\: \: \:$

= 16,000

$\: \: \:$

∴ The answer is 16,000