H and J are two rectangular containers. The base area of H is 74 cm
2 while that of J is 37 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?
- Ryan 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
= 74 x 36
= 2664 cm
3 (b)
Total base areas
= 74 + 74 + 37
= 185 cm
2 Height of water if the total base area is 185 cm
2 = 2664 ÷ 185
= 14.4 cm
New height of the water level in H
= 14.4 x 2
= 28.8 cm
Answer(s): (a) 2664 cm
3; (b) 28.8 cm