H and J are two rectangular containers. The base area of H is 96 cm
2 while that of J is 32 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?
- Jack 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
= 96 x 36
= 3456 cm
3 (b)
Total base areas
= 96 x 3 + 32
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 3456 ÷ 320
= 10.8 cm
New height of the water level in H
= 10.8 x 3
= 32.4 cm
Answer(s): (a) 3456 cm
3; (b) 32.4 cm