H and J are two rectangular tanks. The base area of H is 98 cm
2 while that of J is 42 cm
2 . At first, H contained water to a height of 48 cm and J was empty, as shown.
- What was the volume of the water in H at first?
- Eric 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
= 98 x 48
= 4704 cm
3 (b)
Total base areas
= 98 x 3 + 42
= 336 cm
2 Height of water if the total base area is 336 cm
2 = 4704 ÷ 336
= 14 cm
New height of the water level in H
= 14 x 3
= 42 cm
Answer(s): (a) 4704 cm
3; (b) 42 cm