Question

a godown measures 40m×25m×15m.find the maximum number of wooden boxes each measuring 1.5m×1.25m×0.5m that can be stored into godown?

Answer 1

Answer: 16000

Step-by-step explanation:For godown

L = 40m

B = 25m

H = 15m

V = lbh

= 40×25×15 m^3

For 1 wooden bolck

L = 1.25m

B = 1.5m

H = 0.5m

Volume = 1.25×1.5×0.5 m^3

No. Of wooden blocks =V of godown/

V of 1 wooden block

= 40×25×15 / 1.25×1.5×0.5

= 16000

Answer 2

Answer:

• Length of godown = 40 m
• Breadth of godown = 25 m
• Height of godown = 10 m

• Length of wooden crates = 1.5 m
• Breadth of wooden crates = 1.25 m
• Height of wooden crates = 0.5 m

$\\ \large{ \boxed{ \sf { \green{volum e \: \: of \: \: godown = l \times b \times h}}}} \\ \\ \\ \implies \sf \: 40 \times 20 \times 10 \: \: {m}^{3} \\ \\ \\ \implies \bf \: 10000 \: \: {m}^{3} \\ \\ \\ \large{ \boxed{ \sf{ \blue{volume \: \: of \: \: wooden \: \: crate = l \times b \times h}}}} \\ \\ \\ \implies \sf \: 1.5 \times 1.25 \times 0.5 \: \: m \\ \\ \\ \implies \bf \: 0.9375 \: \: {m}^{3}$

Therefore, volume of x wooden crates = Volume of godown

$\\ \implies \sf \: 0.9375 \times \: x = 10000 \\ \\ \\ \implies \sf \: n = \frac{10000}{0.9375} \\ \\ \\ \implies \bf \: 10666.66$

Therefore, 10666.66 wooden crates.