H and J are two rectangular containers. The base area of H is 84 cm
2 while that of J is 42 cm
2 . At first, H contained water to a height of 54 cm and J was empty, as shown.
- What was the volume of the water in H at first?
- Sean then poured some water from H to J. After that, the height of the water level in H was twice that in J. What was the new height of the water level in H?
(a)
Volume of water in H
= 84 x 54
= 4536 cm
3 (b)
Total base areas
= 84 + 84 + 42
= 210 cm
2 Height of water if the total base area is 210 cm
2 = 4536 ÷ 210
= 21.6 cm
New height of the water level in H
= 21.6 x 2
= 43.2 cm
Answer(s): (a) 4536 cm
3; (b) 43.2 cm