Q and R are two rectangular containers. The base area of Q is 98 cm
2 while that of R is 44 cm
2 . At first, Q contained water to a height of 30 cm and R was empty, as shown.
- What was the volume of the water in Q at first?
- Justin 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
= 98 x 30
= 2940 cm
3 (b)
Total base areas
= 98 + 98 + 44
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 2940 ÷ 240
= 12.25 cm
New height of the water level in Q
= 12.25 x 2
= 24.5 cm
Answer(s): (a) 2940 cm
3; (b) 24.5 cm