Q and R are two rectangular tanks. The base area of Q is 96 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?
- Tommy 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
= 96 x 50
= 4800 cm
3 (b)
Total base areas
= 96 x 3 + 32
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 4800 ÷ 320
= 15 cm
New height of the water level in Q
= 15 x 3
= 45 cm
Answer(s): (a) 4800 cm
3; (b) 45 cm