G and H are two rectangular containers. The base area of G is 84 cm
2 while that of H is 42 cm
2 . At first, G contained water to a height of 42 cm and H was empty, as shown.
- What was the volume of the water in G at first?
- Sam 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
= 84 x 42
= 3528 cm
3 (b)
Total base areas
= 84 x 3 + 42
= 294 cm
2 Height of water if the total base area is 294 cm
2 = 3528 ÷ 294
= 12 cm
New height of the water level in G
= 12 x 3
= 36 cm
Answer(s): (a) 3528 cm
3; (b) 36 cm