Tank P is a cubical container of edge 29 cm. It is completely filled with water. Tank Q is a rectangular tank measuring 62 cm by 22 cm by 26 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank Q after 7 minutes. Give your answer in litres.
- All the water in Tank P is then poured into Tank Q without spilling. How much more water is needed to fill Tank Q completely? Give your answer in litres.
(a)
Volume of water in Tank Q filled by the tap
= 7 x 1.3
= 9.1 ℓ
Volume of water poured into the Tank Q from Tank P
= 29 x 29 x 29
= 24389 mℓ
1000 mℓ = 1 ℓ
24389 mℓ = 24389 ÷ 1000 = 24.389 ℓ
Volume of Tank Q
= 62 x 22 x 26
= 35464 mℓ
35464 mℓ = 35464 ÷ 1000 = 35.464 ℓ
Volume of more water to fill Tank Q
= 35.464 - 24.389 - 9.1
= 1.975 ℓ
Answer(s): (a) 9.1 ℓ; (b) 1.975 ℓ