H and J are two rectangular tanks. The base area of H is 99 cm
2 while that of J is 42 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?
- David 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
= 99 x 46
= 4554 cm
3 (b)
Total base areas
= 99 + 99 + 42
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 4554 ÷ 240
= 18.975 cm
New height of the water level in H
= 18.975 x 2
= 37.95 cm
Answer(s): (a) 4554 cm
3; (b) 37.95 cm