G and H are two rectangular containers. 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 32 cm and H was empty, as shown.
- What was the volume of the water in G at first?
- Mark 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
= 96 x 32
= 3072 cm
3 (b)
Total base areas
= 96 + 96 + 48
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 3072 ÷ 240
= 12.8 cm
New height of the water level in G
= 12.8 x 2
= 25.6 cm
Answer(s): (a) 3072 cm
3; (b) 25.6 cm