Tank Q is a cubical container of edge 38 cm. It is completely filled with water. Tank R is a rectangular tank measuring 62 cm by 33 cm by 34 cm. It is filled with water flowing from a tap at a rate of 1.2 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank R after 7 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
= 7 x 1.2
= 8.4 ℓ
Volume of water poured into the Tank R from Tank Q
= 38 x 38 x 38
= 54872 mℓ
1000 mℓ = 1 ℓ
54872 mℓ = 54872 ÷ 1000 = 54.872 ℓ
Volume of Tank R
= 62 x 33 x 34
= 69564 mℓ
69564 mℓ = 69564 ÷ 1000 = 69.564 ℓ
Volume of more water to fill Tank R
= 69.564 - 54.872 - 8.4
= 6.292 ℓ
Answer(s): (a) 8.4 ℓ; (b) 6.292 ℓ