H and J are two rectangular tanks. The base area of H is 70 cm
2 while that of J is 30 cm
2 . At first, H contained water to a height of 36 cm and J was empty, as shown.
- What was the volume of the water in H at first?
- Carl then poured some water from H to J. After that, the height of the water level in H was thrice that in J. What was the new height of the water level in H?
(a)
Volume of water in H
= 70 x 36
= 2520 cm
3 (b)
Total base areas
= 70 x 3 + 30
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 2520 ÷ 240
= 10.5 cm
New height of the water level in H
= 10.5 x 3
= 31.5 cm
Answer(s): (a) 2520 cm
3; (b) 31.5 cm