G and H are two rectangular tanks. The base area of G is 98 cm
2 while that of H is 46 cm
2 . At first, G contained water to a height of 34 cm and H was empty, as shown.
- What was the volume of the water in G at first?
- Charlie 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
= 98 x 34
= 3332 cm
3 (b)
Total base areas
= 98 x 3 + 46
= 340 cm
2 Height of water if the total base area is 340 cm
2 = 3332 ÷ 340
= 9.8 cm
New height of the water level in G
= 9.8 x 3
= 29.4 cm
Answer(s): (a) 3332 cm
3; (b) 29.4 cm