A rectangular tank 36 cm long, 29 cm wide and 20 cm high is
12 filled with water. When some of the water is poured into an empty rectangular glass container until it is completely full, 4 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 46 cm long and 20 cm wide?
(a)
Volume of water in the tank at first
=
12 x 36 x 29 x 20
= 10440 cm
3 1000 cm
3 = 1 ℓ
10440 cm
3 = 10.44 ℓ
(b)
4 ℓ = 4000 cm
3 Volume of water in the glass container
= 10440 - 4000
= 6440 cm
3 Base area of the glass container
= 46 x 20
= 920 cm
2 Height of the glass container
= 6440 ÷ 920
= 7 cm
Answer(s): (a) 10.44 ℓ; (b) 7 cm