A rectangular tank 37 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, 6 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 49 cm long and 20 cm wide?
(a)
Volume of water in the tank at first
=
45 x 37 x 30 x 20
= 17760 cm
3 1000 cm
3 = 1 ℓ
17760 cm
3 = 17.76 ℓ
(b)
6 ℓ = 6000 cm
3 Volume of water in the glass container
= 17760 - 6000
= 11760 cm
3 Base area of the glass container
= 49 x 20
= 980 cm
2 Height of the glass container
= 11760 ÷ 980
= 12 cm
Answer(s): (a) 17.76 ℓ; (b) 12 cm