A rectangular tank 42 cm long, 28 cm wide and 25 cm high is
23 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 48 cm long and 25 cm wide?
(a)
Volume of water in the tank at first
=
23 x 42 x 28 x 25
= 19600 cm
3 1000 cm
3 = 1 ℓ
19600 cm
3 = 19.6 ℓ
(b)
4 ℓ = 4000 cm
3 Volume of water in the glass container
= 19600 - 4000
= 15600 cm
3 Base area of the glass container
= 48 x 25
= 1200 cm
2 Height of the glass container
= 15600 ÷ 1200
= 13 cm
Answer(s): (a) 19.6 ℓ; (b) 13 cm