V and W are two rectangular containers. The base area of V is 72 cm
2 while that of W is 36 cm
2 . At first, V contained water to a height of 40 cm and W was empty, as shown.
- What was the volume of the water in V at first?
- Howard 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
= 72 x 40
= 2880 cm
3 (b)
Total base areas
= 72 + 72 + 36
= 180 cm
2 Height of water if the total base area is 180 cm
2 = 2880 ÷ 180
= 16 cm
New height of the water level in V
= 16 x 2
= 32 cm
Answer(s): (a) 2880 cm
3; (b) 32 cm