J and K are two rectangular tanks. The base area of J is 84 cm
2 while that of K is 32 cm
2 . At first, J contained water to a height of 35 cm and K was empty, as shown.
- What was the volume of the water in J at first?
- Ethan then poured some water from J to K. After that, the height of the water level in J was twice that in K. What was the new height of the water level in J?
(a)
Volume of water in J
= 84 x 35
= 2940 cm
3 (b)
Total base areas
= 84 + 84 + 32
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 2940 ÷ 200
= 14.7 cm
New height of the water level in J
= 14.7 x 2
= 29.4 cm
Answer(s): (a) 2940 cm
3; (b) 29.4 cm