C and D are two rectangular tanks. The base area of C is 99 cm
2 while that of D is 36 cm
2 . At first, C contained water to a height of 37 cm and D was empty, as shown.
- What was the volume of the water in C at first?
- Ian 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
= 99 x 37
= 3663 cm
3 (b)
Total base areas
= 99 x 3 + 36
= 333 cm
2 Height of water if the total base area is 333 cm
2 = 3663 ÷ 333
= 11 cm
New height of the water level in C
= 11 x 3
= 33 cm
Answer(s): (a) 3663 cm
3; (b) 33 cm