A rectangular container 45 cm long, 32 cm wide and 25 cm high is
13 filled with water. When some of the water is poured into an empty rectangular glass tank until it is completely full, 6 ℓ of water is left in the container.
- How many litres of water was there in the container at first?
- What is the height of the glass tank if it is 48 cm long and 25 cm wide?
(a)
Volume of water in the container at first
=
13 x 45 x 32 x 25
= 12000 cm
3 1000 cm
3 = 1 ℓ
12000 cm
3 = 12 ℓ
(b)
6 ℓ = 6000 cm
3 Volume of water in the glass tank
= 12000 - 6000
= 6000 cm
3 Base area of the glass tank
= 48 x 25
= 1200 cm
2 Height of the glass tank
= 6000 ÷ 1200
= 5 cm
Answer(s): (a) 12 ℓ; (b) 5 cm