H and J are two rectangular containers. The base area of H is 76 cm
2 while that of J is 44 cm
2 . At first, H contained water to a height of 34 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
= 76 x 34
= 2584 cm
3 (b)
Total base areas
= 76 x 3 + 44
= 272 cm
2 Height of water if the total base area is 272 cm
2 = 2584 ÷ 272
= 9.5 cm
New height of the water level in H
= 9.5 x 3
= 28.5 cm
Answer(s): (a) 2584 cm
3; (b) 28.5 cm