Q and R are two rectangular containers. The base area of Q is 100 cm
2 while that of R is 36 cm
2 . At first, Q contained water to a height of 42 cm and R was empty, as shown.
- What was the volume of the water in Q at first?
- Asher then poured some water from Q to R. After that, the height of the water level in Q was thrice that in R. What was the new height of the water level in Q?
(a)
Volume of water in Q
= 100 x 42
= 4200 cm
3 (b)
Total base areas
= 100 x 3 + 36
= 336 cm
2 Height of water if the total base area is 336 cm
2 = 4200 ÷ 336
= 12.5 cm
New height of the water level in Q
= 12.5 x 3
= 37.5 cm
Answer(s): (a) 4200 cm
3; (b) 37.5 cm