C and D are two rectangular containers. The base area of C is 90 cm
2 while that of D is 30 cm
2 . At first, C contained water to a height of 46 cm and D was empty, as shown.
- What was the volume of the water in C at first?
- Ryan then poured some water from C to D. After that, the height of the water level in C was thrice that in D. What was the new height of the water level in C?
(a)
Volume of water in C
= 90 x 46
= 4140 cm
3 (b)
Total base areas
= 90 x 3 + 30
= 300 cm
2 Height of water if the total base area is 300 cm
2 = 4140 ÷ 300
= 13.8 cm
New height of the water level in C
= 13.8 x 3
= 41.4 cm
Answer(s): (a) 4140 cm
3; (b) 41.4 cm