A rectangular tank 41 cm long, 33 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, 2 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 53 cm long and 25 cm wide?
(a)
Volume of water in the tank at first
=
13 x 41 x 33 x 25
= 11275 cm
3 1000 cm
3 = 1 ℓ
11275 cm
3 = 11.275 ℓ
(b)
2 ℓ = 2000 cm
3 Volume of water in the glass container
= 11275 - 2000
= 9275 cm
3 Base area of the glass container
= 53 x 25
= 1325 cm
2 Height of the glass container
= 9275 ÷ 1325
= 7 cm
Answer(s): (a) 11.275 ℓ; (b) 7 cm