A rectangular tank 36 cm long, 34 cm wide and 25 cm high is
13 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 48 cm long and 25 cm wide?
(a)
Volume of water in the tank at first
=
13 x 36 x 34 x 25
= 10200 cm
3 1000 cm
3 = 1 ℓ
10200 cm
3 = 10.2 ℓ
(b)
3 ℓ = 3000 cm
3 Volume of water in the glass container
= 10200 - 3000
= 7200 cm
3 Base area of the glass container
= 48 x 25
= 1200 cm
2 Height of the glass container
= 7200 ÷ 1200
= 6 cm
Answer(s): (a) 10.2 ℓ; (b) 6 cm