Q and R are two rectangular containers. The base area of Q is 94 cm
2 while that of R is 38 cm
2 . At first, Q contained water to a height of 56 cm and R was empty, as shown.
- What was the volume of the water in Q at first?
- Nick 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
= 94 x 56
= 5264 cm
3 (b)
Total base areas
= 94 x 3 + 38
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 5264 ÷ 320
= 16.45 cm
New height of the water level in Q
= 16.45 x 3
= 49.35 cm
Answer(s): (a) 5264 cm
3; (b) 49.35 cm