Question

the capacity of cuboidal tank is 50000 litres of water if the length and depth of tank are 2.5m and 10m.find its breadth

Answer 1

Answer:

Step-by-step explanation:

1m^3 = 1000 L

since capacity of the tank is 50000L

m^3=50000L/1000L = 50m^3

since, 50m =2.5m x 10m x b

50m = 25 x b

b = 50/25 = 2

Therefore b=2m

Answer 2

Answer:

• Length of tank = 2.5 m
• Breadth of tank = ?
• Height of tank = 10 m.

$\\ \\ \sf \: volume = l \times b \times h \\ \\ \\ \implies \sf \: 2.5 \times b \times 10 \: \: {m}^{3} \\ \\ \\ \implies \sf \: 25b \: \: {m}^{3}$

Capacity of tank :

$\\ \sf \: 25 \: b \: \: m {}^{3} = 25000 \: b \: \: litres \\ \\ \\ \ \sf \therefore \: \: 25000 \: b = 50000 \\ \\ \\ \implies \sf \: b = \cancel \frac{50000}{25000} \\ \\ \\ \implies \sf \: b = 2$

Therefore, the breadth of the tank is 2m.