12 liters of water are poured into an aquarium of dimensions 50cm length, 30cm breadth and 40cm height. How high (in cm) will the water rise? (1 liter = 1000 cm³)

Question: 12 liters of water are poured into an aquarium of dimensions 50cm length, 30cm breadth and 40cm height. How high (in cm) will the water rise? (1 liter = 1000 cm³)

Solution:
Given,
Amount of water = 12 liters

We know,
1 liter = 1000 cm³
∴ 12 liters = 12 × 1000 cm³
= 12000 cm³

Now,
Aquarium length = 50 cm
Aquarium breadth = 30 cm
Let, water height = h cm

Volume of water = length × breadth × height
⇒ 12000 = 50 × 30 × h
⇒ 12000 = 1500h
⇒ h = 12000/1500
∴ h = 8 cm

Correct Answer: খ) 8