G and H are two rectangular tanks. The base area of G is 70 cm
2 while that of H is 50 cm
2 . At first, G contained water to a height of 52 cm and H was empty, as shown.
- What was the volume of the water in G at first?
- Paul then poured some water from G to H. After that, the height of the water level in G was thrice that in H. What was the new height of the water level in G?
(a)
Volume of water in G
= 70 x 52
= 3640 cm
3 (b)
Total base areas
= 70 x 3 + 50
= 260 cm
2 Height of water if the total base area is 260 cm
2 = 3640 ÷ 260
= 14 cm
New height of the water level in G
= 14 x 3
= 42 cm
Answer(s): (a) 3640 cm
3; (b) 42 cm