B and C are two rectangular containers. The base area of B is 86 cm
2 while that of C is 42 cm
2 . At first, B contained water to a height of 30 cm and C was empty, as shown.
- What was the volume of the water in B at first?
- Bobby then poured some water from B to C. After that, the height of the water level in B was thrice that in C. What was the new height of the water level in B?
(a)
Volume of water in B
= 86 x 30
= 2580 cm
3 (b)
Total base areas
= 86 x 3 + 42
= 300 cm
2 Height of water if the total base area is 300 cm
2 = 2580 ÷ 300
= 8.6 cm
New height of the water level in B
= 8.6 x 3
= 25.8 cm
Answer(s): (a) 2580 cm
3; (b) 25.8 cm