B and C are two rectangular containers. The base area of B is 78 cm
2 while that of C is 44 cm
2 . At first, B contained water to a height of 56 cm and C was empty, as shown.
- What was the volume of the water in B at first?
- Sam 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
= 78 x 56
= 4368 cm
3 (b)
Total base areas
= 78 + 78 + 44
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 4368 ÷ 200
= 21.84 cm
New height of the water level in B
= 21.84 x 2
= 43.68 cm
Answer(s): (a) 4368 cm
3; (b) 43.68 cm