H and J are two rectangular tanks. The base area of H is 98 cm
2 while that of J is 36 cm
2 . At first, H contained water to a height of 58 cm and J was empty, as shown.
- What was the volume of the water in H at first?
- Charlie 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
= 98 x 58
= 5684 cm
3 (b)
Total base areas
= 98 + 98 + 36
= 232 cm
2 Height of water if the total base area is 232 cm
2 = 5684 ÷ 232
= 24.5 cm
New height of the water level in H
= 24.5 x 2
= 49 cm
Answer(s): (a) 5684 cm
3; (b) 49 cm