Question

A godown measures 40m*25m*10m.If 8000 wooden crates each measuring 1.5m × 1.25m× 0.5m are stored in godown ,find how many more such crates can be stored in godown

Answer 1

Answer:

2666 crates can be stored in godown

Given:

Godown length=40 m;breadth=25m and height=10m

8000 Wooden crates stored there whose length=1.5m;breadth=1.25m and height=0.5 m

To find:

How many more crates can be stored in godown

Solution:-

$number \: of \: crates = \frac{volume \: of \: godown}{volume \: of \: 1 \: crate}$

Volume of godown=length×breadth×height

$= 40 \times 25 \times 10$

$= 10000 \: {m}^{3}$

Now

$volume \: of \: crates = 1.5 \times 1.25 \times 0.5$

$= 0.9375 \: {m}^{ 3}$

$no. \: of \: crates = \frac{10000}{0.9375}$

$= 10666$

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

Number of crates already stored there=8000

Remaining crates can be store there=10666-8000

=2666

Answer 2

$\huge\underline\red{GIVEN}$

Godown measures

Length = 40m

Breadth = 25m

Height = 10m

Crates measures

Length = 1.5m

Breadth = 1.25

Height = 0.5m

$\huge\underline\red{FORMULA}$

Volume of cuboid -

length × breadth × height

$\huge\underline\red{SOLUTION}$

Total number of crates :-

$\huge\frac{volume \: of \: godwon}{volume \: of \: crates}$

$\large{=}$$\huge\frac{40×25×10}{15×125×5}{×10000}$

$\large{=}$$\huge\frac{32000}{3}$

___________________________

Number of crates remaining

to store in godwon

$\frac{32000}{3}$${-8000}$

$\large{=}$$\huge\frac{32000-24000}{3}$

$\large{=}$$\huge\frac{8000}{3}$

$\large{=}$$\huge{2666.66}$