A rectangular tank 36 cm long, 30 cm wide and 20 cm high is
45 filled with water. When some of the water is poured into an empty rectangular glass container until it is completely full, 3 ℓ of water is left in the tank.
- How many litres of water was there in the tank at first?
- What is the height of the glass container if it is 51 cm long and 20 cm wide?
(a)
Volume of water in the tank at first
=
45 x 36 x 30 x 20
= 17280 cm
3 1000 cm
3 = 1 ℓ
17280 cm
3 = 17.28 ℓ
(b)
3 ℓ = 3000 cm
3 Volume of water in the glass container
= 17280 - 3000
= 14280 cm
3 Base area of the glass container
= 51 x 20
= 1020 cm
2 Height of the glass container
= 14280 ÷ 1020
= 14 cm
Answer(s): (a) 17.28 ℓ; (b) 14 cm