Tank Q is a cubical container of edge 21 cm. It is completely filled with water. Tank R is a rectangular tank measuring 48 cm by 16 cm by 18 cm. It is filled with water flowing from a tap at a rate of 0.3 ℓ per minute. 4 minutes later, the tap is turned off.
- Find the volume of water in Tank R after 4 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
= 4 x 0.3
= 1.2 ℓ
Volume of water poured into the Tank R from Tank Q
= 21 x 21 x 21
= 9261 mℓ
1000 mℓ = 1 ℓ
9261 mℓ = 9261 ÷ 1000 = 9.261 ℓ
Volume of Tank R
= 48 x 16 x 18
= 13824 mℓ
13824 mℓ = 13824 ÷ 1000 = 13.824 ℓ
Volume of more water to fill Tank R
= 13.824 - 9.261 - 1.2
= 3.363 ℓ
Answer(s): (a) 1.2 ℓ; (b) 3.363 ℓ