A rectangular container 44 cm long, 31 cm wide and 24 cm high is
12 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 54 cm long and 24 cm wide?
(a)
Volume of water in the container at first
=
12 x 44 x 31 x 24
= 16368 cm
3 1000 cm
3 = 1 ℓ
16368 cm
3 = 16.368 ℓ
(b)
6 ℓ = 6000 cm
3 Volume of water in the glass tank
= 16368 - 6000
= 10368 cm
3 Base area of the glass tank
= 54 x 24
= 1296 cm
2 Height of the glass tank
= 10368 ÷ 1296
= 8 cm
Answer(s): (a) 16.368 ℓ; (b) 8 cm