PSLE There was a total of 13423 cm
3 of water in rectangular tanks U and V at first. The height of the water level in tank V was 4 cm above that of tank U.
- Find the height of the water level in tank U.
- Linda poured 2550 cm3 of water out of tank V. Tank V was then half filled with water. What was the height of tank V?
(a)
Volume of water in Tank V with a height of 4 cm
= 25 x 17 x 4
= 1700 cm
3 Volume of water in both tanks excluding the water that is 4 cm above that of Tank U
= 13423 - 1700
= 11723 cm
3 Base area of Tank U
= 16 x 12
= 192 cm
2 Base area of Tank V
= 25 x 17
= 425 cm
2 Combined base areas of both tanks
= 192 + 425
= 617 cm
2 Height of water in Tank U
= 11723 ÷ 617
= 19 cm
(b)
Decrease in the height of Tank V after some water was poured out
= 2550 ÷ 425
= 6 cm
Original height of water before some was poured out
= 19 + 4
= 23 cm
Height of water after some was poured out
= 23 - 6
= 17 cm
Height of Tank U
= 2 x 17
= 34 cm
Answer(s): (a) 19 cm; (b) 34 cm