J and K are two rectangular tanks. The base area of J is 70 cm
2 while that of K is 42 cm
2 . At first, J contained water to a height of 54 cm and K was empty, as shown.
- What was the volume of the water in J at first?
- Luke 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
= 70 x 54
= 3780 cm
3 (b)
Total base areas
= 70 x 3 + 42
= 252 cm
2 Height of water if the total base area is 252 cm
2 = 3780 ÷ 252
= 15 cm
New height of the water level in J
= 15 x 3
= 45 cm
Answer(s): (a) 3780 cm
3; (b) 45 cm