Tank Q is a cubical container of edge 29 cm. It is completely filled with water. Tank R is a rectangular tank measuring 58 cm by 24 cm by 27 cm. It is filled with water flowing from a tap at a rate of 0.7 ℓ per minute. 9 minutes later, the tap is turned off.
- Find the volume of water in Tank R after 9 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
= 9 x 0.7
= 6.3 ℓ
Volume of water poured into the Tank R from Tank Q
= 29 x 29 x 29
= 24389 mℓ
1000 mℓ = 1 ℓ
24389 mℓ = 24389 ÷ 1000 = 24.389 ℓ
Volume of Tank R
= 58 x 24 x 27
= 37584 mℓ
37584 mℓ = 37584 ÷ 1000 = 37.584 ℓ
Volume of more water to fill Tank R
= 37.584 - 24.389 - 6.3
= 6.895 ℓ
Answer(s): (a) 6.3 ℓ; (b) 6.895 ℓ