H and J are two rectangular tanks. The base area of H is 82 cm
2 while that of J is 36 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?
- Vaidev 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
= 82 x 34
= 2788 cm
3 (b)
Total base areas
= 82 + 82 + 36
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 2788 ÷ 200
= 13.94 cm
New height of the water level in H
= 13.94 x 2
= 27.88 cm
Answer(s): (a) 2788 cm
3; (b) 27.88 cm