PSLE There was a total of 13910 cm
3 of water in rectangular tanks E and F at first. The height of the water level in tank F was 5 cm above that of tank E.
- Find the height of the water level in tank E.
- Sabrina poured 3094 cm3 of water out of tank F. Tank F was then half filled with water. What was the height of tank F?
(a)
Volume of water in Tank F with a height of 5 cm
= 26 x 17 x 5
= 2210 cm
3 Volume of water in both tanks excluding the water that is 5 cm above that of Tank E
= 13910 - 2210
= 11700 cm
3 Base area of Tank E
= 16 x 13
= 208 cm
2 Base area of Tank F
= 26 x 17
= 442 cm
2 Combined base areas of both tanks
= 208 + 442
= 650 cm
2 Height of water in Tank E
= 11700 ÷ 650
= 18 cm
(b)
Decrease in the height of Tank F after some water was poured out
= 3094 ÷ 442
= 7 cm
Original height of water before some was poured out
= 18 + 5
= 23 cm
Height of water after some was poured out
= 23 - 7
= 16 cm
Height of Tank E
= 2 x 16
= 32 cm
Answer(s): (a) 18 cm; (b) 32 cm