H and J are two rectangular containers. The base area of H is 100 cm
2 while that of J is 40 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?
- Dylan then poured some water from H to J. After that, the height of the water level in H was thrice that in J. What was the new height of the water level in H?
(a)
Volume of water in H
= 100 x 34
= 3400 cm
3 (b)
Total base areas
= 100 x 3 + 40
= 340 cm
2 Height of water if the total base area is 340 cm
2 = 3400 ÷ 340
= 10 cm
New height of the water level in H
= 10 x 3
= 30 cm
Answer(s): (a) 3400 cm
3; (b) 30 cm