G and H are two rectangular containers. The base area of G is 96 cm
2 while that of H is 36 cm
2 . At first, G contained water to a height of 38 cm and H was empty, as shown.
- What was the volume of the water in G at first?
- Wesley 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 38
= 3648 cm
3 (b)
Total base areas
= 96 + 96 + 36
= 228 cm
2 Height of water if the total base area is 228 cm
2 = 3648 ÷ 228
= 16 cm
New height of the water level in G
= 16 x 2
= 32 cm
Answer(s): (a) 3648 cm
3; (b) 32 cm