G and H are two rectangular containers. The base area of G is 92 cm
2 while that of H is 46 cm
2 . At first, G contained water to a height of 54 cm and H was empty, as shown.
- What was the volume of the water in G at first?
- Luke then poured some water from G to H. After that, the height of the water level in G was twice that in H. What was the new height of the water level in G?
(a)
Volume of water in G
= 92 x 54
= 4968 cm
3 (b)
Total base areas
= 92 + 92 + 46
= 230 cm
2 Height of water if the total base area is 230 cm
2 = 4968 ÷ 230
= 21.6 cm
New height of the water level in G
= 21.6 x 2
= 43.2 cm
Answer(s): (a) 4968 cm
3; (b) 43.2 cm