B and C are two rectangular containers. The base area of B is 88 cm
2 while that of C is 44 cm
2 . At first, B contained water to a height of 46 cm and C was empty, as shown.
- What was the volume of the water in B at first?
- Asher then poured some water from B to C. After that, the height of the water level in B was twice that in C. What was the new height of the water level in B?
(a)
Volume of water in B
= 88 x 46
= 4048 cm
3 (b)
Total base areas
= 88 + 88 + 44
= 220 cm
2 Height of water if the total base area is 220 cm
2 = 4048 ÷ 220
= 18.4 cm
New height of the water level in B
= 18.4 x 2
= 36.8 cm
Answer(s): (a) 4048 cm
3; (b) 36.8 cm