Q and R are two rectangular tanks. The base area of Q is 88 cm
2 while that of R is 44 cm
2 . At first, Q contained water to a height of 32 cm and R was empty, as shown.
- What was the volume of the water in Q at first?
- Archie 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
= 88 x 32
= 2816 cm
3 (b)
Total base areas
= 88 + 88 + 44
= 220 cm
2 Height of water if the total base area is 220 cm
2 = 2816 ÷ 220
= 12.8 cm
New height of the water level in Q
= 12.8 x 2
= 25.6 cm
Answer(s): (a) 2816 cm
3; (b) 25.6 cm