A rectangular container 39 cm long, 32 cm wide and 25 cm high is
14 filled with water. When some of the water is poured into an empty rectangular glass tank until it is completely full, 3 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
=
14 x 39 x 32 x 25
= 7800 cm
3 1000 cm
3 = 1 ℓ
7800 cm
3 = 7.8 ℓ
(b)
3 ℓ = 3000 cm
3 Volume of water in the glass tank
= 7800 - 3000
= 4800 cm
3 Base area of the glass tank
= 48 x 25
= 1200 cm
2 Height of the glass tank
= 4800 ÷ 1200
= 4 cm
Answer(s): (a) 7.8 ℓ; (b) 4 cm