J and K are two rectangular tanks. The base area of J is 90 cm
2 while that of K is 50 cm
2 . At first, J contained water to a height of 40 cm and K was empty, as shown.
- What was the volume of the water in J at first?
- Paul then poured some water from J to K. After that, the height of the water level in J was thrice that in K. What was the new height of the water level in J?
(a)
Volume of water in J
= 90 x 40
= 3600 cm
3 (b)
Total base areas
= 90 x 3 + 50
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 3600 ÷ 320
= 11.25 cm
New height of the water level in J
= 11.25 x 3
= 33.75 cm
Answer(s): (a) 3600 cm
3; (b) 33.75 cm