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a) Sequence of events

– Tap A is turned on and water flows into the tank.

– 9 minutes later, tap B is turned on and water flows out.

– 15 minutes later, both tapes are turned off.

Total time tap A is turned on = 9 + 15 = 24min

Total time tap B is turned on = 15min

24 x 1.8 = 43.2 ℓ

15 x 1.2 = 18 ℓ

43.2 – 18 = 25.2

The volume of water in the tank at the end is 25.2 ℓ.

 

b) Each side of the cube = Breadth of cuboid = 20 cm

Volume of water in cuboid = 24 x 36 x 20 = 17 280 cm3

25 200 – 17 280 = 7920

20 x 20 = 400

Base area of cube = 400 cm2

7920 ÷ 400 = 19.8

The height of water in cube is 19.8 cm.

19.8 + 24 = 43.8

The height of water in tank is 43.8 cm.

0 Replies 2 Likes ✔Accepted Answer

Sorry, but its hard to see the dimensions of the box because of your writing.

Is the cube really 24cm³?  I think it is more like 20cm³

0 Replies 0 Likes