V and W are two rectangular tanks. The base area of V is 74 cm
2 while that of W is 37 cm
2 . At first, V contained water to a height of 41 cm and W was empty, as shown.
- What was the volume of the water in V at first?
- Fred 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
= 74 x 41
= 3034 cm
3 (b)
Total base areas
= 74 + 74 + 37
= 185 cm
2 Height of water if the total base area is 185 cm
2 = 3034 ÷ 185
= 16.4 cm
New height of the water level in V
= 16.4 x 2
= 32.8 cm
Answer(s): (a) 3034 cm
3; (b) 32.8 cm