A rectangular tank 42 cm long, 31 cm wide and 20 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, 5 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
=
13 x 42 x 31 x 20
= 8680 cm
3 1000 cm
3 = 1 ℓ
8680 cm
3 = 8.68 ℓ
(b)
5 ℓ = 5000 cm
3 Volume of water in the glass container
= 8680 - 5000
= 3680 cm
3 Base area of the glass container
= 46 x 20
= 920 cm
2 Height of the glass container
= 3680 ÷ 920
= 4 cm
Answer(s): (a) 8.68 ℓ; (b) 4 cm