Tank D is a cubical container of edge 40 cm. It is completely filled with water. Tank E is a rectangular tank measuring 63 cm by 34 cm by 37 cm. It is filled with water flowing from a tap at a rate of 1.5 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank E after 4 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
= 4 x 1.5
= 6 ℓ
Volume of water poured into the Tank E from Tank D
= 40 x 40 x 40
= 64000 mℓ
1000 mℓ = 1 ℓ
64000 mℓ = 64000 ÷ 1000 = 64 ℓ
Volume of Tank E
= 63 x 34 x 37
= 79254 mℓ
79254 mℓ = 79254 ÷ 1000 = 79.254 ℓ
Volume of more water to fill Tank E
= 79.254 - 64 - 6
= 9.254 ℓ
Answer(s): (a) 6 ℓ; (b) 9.254 ℓ