C and D are two rectangular tanks. The base area of C is 86 cm
2 while that of D is 42 cm
2 . At first, C contained water to a height of 36 cm and D was empty, as shown.
- What was the volume of the water in C at first?
- Cody 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
= 86 x 36
= 3096 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 = 3096 ÷ 300
= 10.32 cm
New height of the water level in C
= 10.32 x 3
= 30.96 cm
Answer(s): (a) 3096 cm
3; (b) 30.96 cm