Tank Q is a cubical container of edge 28 cm. It is completely filled with water. Tank R is a rectangular tank measuring 57 cm by 24 cm by 26 cm. It is filled with water flowing from a tap at a rate of 0.3 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 0.3
= 2.7 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
= 57 x 24 x 26
= 35568 mℓ
35568 mℓ = 35568 ÷ 1000 = 35.568 ℓ
Volume of more water to fill Tank R
= 35.568 - 21.952 - 2.7
= 10.916 ℓ
Answer(s): (a) 2.7 ℓ; (b) 10.916 ℓ