A and B are two rectangular containers. The base area of A is 96 cm
2 while that of B is 32 cm
2 . At first, A contained water to a height of 46 cm and B was empty, as shown.
- What was the volume of the water in A at first?
- Simon then poured some water from A to B. After that, the height of the water level in A was thrice that in B. What was the new height of the water level in A?
(a)
Volume of water in A
= 96 x 46
= 4416 cm
3 (b)
Total base areas
= 96 x 3 + 32
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 4416 ÷ 320
= 13.8 cm
New height of the water level in A
= 13.8 x 3
= 41.4 cm
Answer(s): (a) 4416 cm
3; (b) 41.4 cm