Tank Q is a cubical container of edge 34 cm. It is completely filled with water. Tank R is a rectangular tank measuring 58 cm by 31 cm by 32 cm. It is filled with water flowing from a tap at a rate of 1.5 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 1.5
= 6 ℓ
Volume of water poured into the Tank R from Tank Q
= 34 x 34 x 34
= 39304 mℓ
1000 mℓ = 1 ℓ
39304 mℓ = 39304 ÷ 1000 = 39.304 ℓ
Volume of Tank R
= 58 x 31 x 32
= 57536 mℓ
57536 mℓ = 57536 ÷ 1000 = 57.536 ℓ
Volume of more water to fill Tank R
= 57.536 - 39.304 - 6
= 12.232 ℓ
Answer(s): (a) 6 ℓ; (b) 12.232 ℓ