A and B are two rectangular containers. The base area of A is 72 cm
2 while that of B is 34 cm
2 . At first, A contained water to a height of 42 cm and B was empty, as shown.
- What was the volume of the water in A at first?
- Nick 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
= 72 x 42
= 3024 cm
3 (b)
Total base areas
= 72 x 3 + 34
= 250 cm
2 Height of water if the total base area is 250 cm
2 = 3024 ÷ 250
= 12.096 cm
New height of the water level in A
= 12.096 x 3
= 36.288 cm
Answer(s): (a) 3024 cm
3; (b) 36.288 cm