G and H are two rectangular tanks. The base area of G is 96 cm
2 while that of H is 48 cm
2 . At first, G contained water to a height of 56 cm and H was empty, as shown.
- What was the volume of the water in G at first?
- Reggie 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
= 96 x 56
= 5376 cm
3 (b)
Total base areas
= 96 x 3 + 48
= 336 cm
2 Height of water if the total base area is 336 cm
2 = 5376 ÷ 336
= 16 cm
New height of the water level in G
= 16 x 3
= 48 cm
Answer(s): (a) 5376 cm
3; (b) 48 cm