Tank Q is a cubical container of edge 24 cm. It is completely filled with water. Tank R is a rectangular tank measuring 54 cm by 17 cm by 20 cm. It is filled with water flowing from a tap at a rate of 0.1 ℓ per minute. 8 minutes later, the tap is turned off.
- Find the volume of water in Tank R after 8 minutes. Give your answer in litres.
- All the water in Tank Q is then poured into Tank R without spilling. How much more water is needed to fill Tank R completely? Give your answer in litres.
(a)
Volume of water in Tank R filled by the tap
= 8 x 0.1
= 0.8 ℓ
Volume of water poured into the Tank R from Tank Q
= 24 x 24 x 24
= 13824 mℓ
1000 mℓ = 1 ℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of Tank R
= 54 x 17 x 20
= 18360 mℓ
18360 mℓ = 18360 ÷ 1000 = 18.36 ℓ
Volume of more water to fill Tank R
= 18.36 - 13.824 - 0.8
= 3.736 ℓ
Answer(s): (a) 0.8 ℓ; (b) 3.736 ℓ