Q and R are two rectangular tanks. The base area of Q is 72 cm
2 while that of R is 48 cm
2 . At first, Q contained water to a height of 34 cm and R was empty, as shown.
- What was the volume of the water in Q at first?
- Carl 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
= 72 x 34
= 2448 cm
3 (b)
Total base areas
= 72 + 72 + 48
= 192 cm
2 Height of water if the total base area is 192 cm
2 = 2448 ÷ 192
= 12.75 cm
New height of the water level in Q
= 12.75 x 2
= 25.5 cm
Answer(s): (a) 2448 cm
3; (b) 25.5 cm