PSLE There was a total of 19087 cm
3 of water in rectangular tanks T and U at first. The height of the water level in tank U was 5 cm above that of tank T.
- Find the height of the water level in tank T.
- Cindy poured 4992 cm3 of water out of tank U. Tank U was then half filled with water. What was the height of tank U?
(a)
Volume of water in Tank U with a height of 5 cm
= 32 x 26 x 5
= 4160 cm
3 Volume of water in both tanks excluding the water that is 5 cm above that of Tank T
= 19087 - 4160
= 14927 cm
3 Base area of Tank T
= 25 x 21
= 525 cm
2 Base area of Tank U
= 32 x 26
= 832 cm
2 Combined base areas of both tanks
= 525 + 832
= 1357 cm
2 Height of water in Tank T
= 14927 ÷ 1357
= 11 cm
(b)
Decrease in the height of Tank U after some water was poured out
= 4992 ÷ 832
= 6 cm
Original height of water before some was poured out
= 11 + 5
= 16 cm
Height of water after some was poured out
= 16 - 6
= 10 cm
Height of Tank T
= 2 x 10
= 20 cm
Answer(s): (a) 11 cm; (b) 20 cm