V and W are two rectangular tanks. The base area of V is 80 cm
2 while that of W is 32 cm
2 . At first, V contained water to a height of 54 cm and W was empty, as shown.
- What was the volume of the water in V at first?
- Bobby then poured some water from V to W. After that, the height of the water level in V was twice that in W. What was the new height of the water level in V?
(a)
Volume of water in V
= 80 x 54
= 4320 cm
3 (b)
Total base areas
= 80 + 80 + 32
= 192 cm
2 Height of water if the total base area is 192 cm
2 = 4320 ÷ 192
= 22.5 cm
New height of the water level in V
= 22.5 x 2
= 45 cm
Answer(s): (a) 4320 cm
3; (b) 45 cm