Q and R are two rectangular containers. The base area of Q is 84 cm
2 while that of R is 32 cm
2 . At first, Q contained water to a height of 50 cm and R was empty, as shown.
- What was the volume of the water in Q at first?
- Ethan then poured some water from Q to R. After that, the height of the water level in Q was twice that in R. What was the new height of the water level in Q?
(a)
Volume of water in Q
= 84 x 50
= 4200 cm
3 (b)
Total base areas
= 84 + 84 + 32
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 4200 ÷ 200
= 21 cm
New height of the water level in Q
= 21 x 2
= 42 cm
Answer(s): (a) 4200 cm
3; (b) 42 cm