G and H are two rectangular tanks. The base area of G is 93 cm
2 while that of H is 31 cm
2 . At first, G contained water to a height of 47 cm and H was empty, as shown.
- What was the volume of the water in G at first?
- Daniel 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
= 93 x 47
= 4371 cm
3 (b)
Total base areas
= 93 x 3 + 31
= 310 cm
2 Height of water if the total base area is 310 cm
2 = 4371 ÷ 310
= 14.1 cm
New height of the water level in G
= 14.1 x 3
= 42.3 cm
Answer(s): (a) 4371 cm
3; (b) 42.3 cm