PSLE There was a total of 26730 cm
3 of water in rectangular tanks B and C at first. The height of the water level in tank C was 7 cm above that of tank B.
- Find the height of the water level in tank B.
- Jean poured 8640 cm3 of water out of tank C. Tank C was then half filled with water. What was the height of tank C?
(a)
Volume of water in Tank C with a height of 7 cm
= 36 x 30 x 7
= 7560 cm
3 Volume of water in both tanks excluding the water that is 7 cm above that of Tank B
= 26730 - 7560
= 19170 cm
3 Base area of Tank B
= 31 x 27
= 837 cm
2 Base area of Tank C
= 36 x 30
= 1080 cm
2 Combined base areas of both tanks
= 837 + 1080
= 1917 cm
2 Height of water in Tank B
= 19170 ÷ 1917
= 10 cm
(b)
Decrease in the height of Tank C after some water was poured out
= 8640 ÷ 1080
= 8 cm
Original height of water before some was poured out
= 10 + 7
= 17 cm
Height of water after some was poured out
= 17 - 8
= 9 cm
Height of Tank B
= 2 x 9
= 18 cm
Answer(s): (a) 10 cm; (b) 18 cm