Q and R are two rectangular tanks. The base area of Q is 74 cm
2 while that of R is 37 cm
2 . At first, Q contained water to a height of 33 cm and R was empty, as shown.
- What was the volume of the water in Q at first?
- Dylan 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
= 74 x 33
= 2442 cm
3 (b)
Total base areas
= 74 + 74 + 37
= 185 cm
2 Height of water if the total base area is 185 cm
2 = 2442 ÷ 185
= 13.2 cm
New height of the water level in Q
= 13.2 x 2
= 26.4 cm
Answer(s): (a) 2442 cm
3; (b) 26.4 cm