Tank D is a cubical container of edge 28 cm. It is completely filled with water. Tank E is a rectangular tank measuring 61 cm by 21 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank E after 5 minutes. Give your answer in litres.
- All the water in Tank D is then poured into Tank E without spilling. How much more water is needed to fill Tank E completely? Give your answer in litres.
(a)
Volume of water in Tank E filled by the tap
= 5 x 1.3
= 6.5 ℓ
Volume of water poured into the Tank E from Tank D
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank E
= 61 x 21 x 25
= 32025 mℓ
32025 mℓ = 32025 ÷ 1000 = 32.025 ℓ
Volume of more water to fill Tank E
= 32.025 - 21.952 - 6.5
= 3.573 ℓ
Answer(s): (a) 6.5 ℓ; (b) 3.573 ℓ