PSLE There was a total of 19138 cm
3 of water in rectangular tanks H and J at first. The height of the water level in tank J was 4 cm above that of tank H.
- Find the height of the water level in tank H.
- Tina poured 5568 cm3 of water out of tank J. Tank J was then half filled with water. What was the height of tank J?
(a)
Volume of water in Tank J with a height of 4 cm
= 29 x 24 x 4
= 2784 cm
3 Volume of water in both tanks excluding the water that is 4 cm above that of Tank H
= 19138 - 2784
= 16354 cm
3 Base area of Tank H
= 19 x 14
= 266 cm
2 Base area of Tank J
= 29 x 24
= 696 cm
2 Combined base areas of both tanks
= 266 + 696
= 962 cm
2 Height of water in Tank H
= 16354 ÷ 962
= 17 cm
(b)
Decrease in the height of Tank J after some water was poured out
= 5568 ÷ 696
= 8 cm
Original height of water before some was poured out
= 17 + 4
= 21 cm
Height of water after some was poured out
= 21 - 8
= 13 cm
Height of Tank H
= 2 x 13
= 26 cm
Answer(s): (a) 17 cm; (b) 26 cm