G and H are two rectangular containers. The base area of G is 90 cm
2 while that of H is 30 cm
2 . At first, G contained water to a height of 48 cm and H was empty, as shown.
- What was the volume of the water in G at first?
- Xavier 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
= 90 x 48
= 4320 cm
3 (b)
Total base areas
= 90 x 3 + 30
= 300 cm
2 Height of water if the total base area is 300 cm
2 = 4320 ÷ 300
= 14.4 cm
New height of the water level in G
= 14.4 x 3
= 43.2 cm
Answer(s): (a) 4320 cm
3; (b) 43.2 cm