H and J are two rectangular containers. The base area of H is 84 cm
2 while that of J is 32 cm
2 . At first, H contained water to a height of 46 cm and J was empty, as shown.
- What was the volume of the water in H at first?
- Seth 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 46
= 3864 cm
3 (b)
Total base areas
= 84 + 84 + 32
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 3864 ÷ 200
= 19.32 cm
New height of the water level in H
= 19.32 x 2
= 38.64 cm
Answer(s): (a) 3864 cm
3; (b) 38.64 cm