PSLE There was a total of 12352 cm
3 of water in rectangular tanks A and B at first. The height of the water level in tank B was 4 cm above that of tank A.
- Find the height of the water level in tank A.
- Sarah poured 2912 cm3 of water out of tank B. Tank B was then half filled with water. What was the height of tank B?
(a)
Volume of water in Tank B with a height of 4 cm
= 26 x 16 x 4
= 1664 cm
3 Volume of water in both tanks excluding the water that is 4 cm above that of Tank A
= 12352 - 1664
= 10688 cm
3 Base area of Tank A
= 18 x 14
= 252 cm
2 Base area of Tank B
= 26 x 16
= 416 cm
2 Combined base areas of both tanks
= 252 + 416
= 668 cm
2 Height of water in Tank A
= 10688 ÷ 668
= 16 cm
(b)
Decrease in the height of Tank B after some water was poured out
= 2912 ÷ 416
= 7 cm
Original height of water before some was poured out
= 16 + 4
= 20 cm
Height of water after some was poured out
= 20 - 7
= 13 cm
Height of Tank A
= 2 x 13
= 26 cm
Answer(s): (a) 16 cm; (b) 26 cm