A rectangular container 45 cm long, 30 cm wide and 25 cm high is
45 filled with water. When some of the water is poured into an empty rectangular glass tank until it is completely full, 5 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 55 cm long and 25 cm wide?
(a)
Volume of water in the container at first
=
45 x 45 x 30 x 25
= 27000 cm
3 1000 cm
3 = 1 ℓ
27000 cm
3 = 27 ℓ
(b)
5 ℓ = 5000 cm
3 Volume of water in the glass tank
= 27000 - 5000
= 22000 cm
3 Base area of the glass tank
= 55 x 25
= 1375 cm
2 Height of the glass tank
= 22000 ÷ 1375
= 16 cm
Answer(s): (a) 27 ℓ; (b) 16 cm