Tank M is a cubical container of edge 28 cm. It is completely filled with water. Tank N is a rectangular tank measuring 59 cm by 22 cm by 26 cm. It is filled with water flowing from a tap at a rate of 0.2 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank N after 7 minutes. Give your answer in litres.
- All the water in Tank M is then poured into Tank N without spilling. How much more water is needed to fill Tank N completely? Give your answer in litres.
(a)
Volume of water in Tank N filled by the tap
= 7 x 0.2
= 1.4 ℓ
Volume of water poured into the Tank N from Tank M
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank N
= 59 x 22 x 26
= 33748 mℓ
33748 mℓ = 33748 ÷ 1000 = 33.748 ℓ
Volume of more water to fill Tank N
= 33.748 - 21.952 - 1.4
= 10.396 ℓ
Answer(s): (a) 1.4 ℓ; (b) 10.396 ℓ