Tank Q is a cubical container of edge 33 cm. It is completely filled with water. Tank R is a rectangular tank measuring 54 cm by 28 cm by 31 cm. It is filled with water flowing from a tap at a rate of 0.7 ℓ per minute. 11 minutes later, the tap is turned off.
- Find the volume of water in Tank R after 11 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
= 11 x 0.7
= 7.7 ℓ
Volume of water poured into the Tank R from Tank Q
= 33 x 33 x 33
= 35937 mℓ
1000 mℓ = 1 ℓ
35937 mℓ = 35937 ÷ 1000 = 35.937 ℓ
Volume of Tank R
= 54 x 28 x 31
= 46872 mℓ
46872 mℓ = 46872 ÷ 1000 = 46.872 ℓ
Volume of more water to fill Tank R
= 46.872 - 35.937 - 7.7
= 3.235 ℓ
Answer(s): (a) 7.7 ℓ; (b) 3.235 ℓ