Tank Q is a cubical container of edge 28 cm. It is completely filled with water. Tank R is a rectangular tank measuring 64 cm by 21 cm by 24 cm. It is filled with water flowing from a tap at a rate of 1.4 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 1.4
= 5.6 ℓ
Volume of water poured into the Tank R from Tank Q
= 28 x 28 x 28
= 21952 mℓ
1000 mℓ = 1 ℓ
21952 mℓ = 21952 ÷ 1000 = 21.952 ℓ
Volume of Tank R
= 64 x 21 x 24
= 32256 mℓ
32256 mℓ = 32256 ÷ 1000 = 32.256 ℓ
Volume of more water to fill Tank R
= 32.256 - 21.952 - 5.6
= 4.704 ℓ
Answer(s): (a) 5.6 ℓ; (b) 4.704 ℓ