A rectangular tank 39 cm long, 31 cm wide and 24 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, 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 51 cm long and 24 cm wide?
(a)
Volume of water in the tank at first
=
13 x 39 x 31 x 24
= 9672 cm
3 1000 cm
3 = 1 ℓ
9672 cm
3 = 9.672 ℓ
(b)
6 ℓ = 6000 cm
3 Volume of water in the glass container
= 9672 - 6000
= 3672 cm
3 Base area of the glass container
= 51 x 24
= 1224 cm
2 Height of the glass container
= 3672 ÷ 1224
= 3 cm
Answer(s): (a) 9.672 ℓ; (b) 3 cm