V and W are two rectangular containers. The base area of V is 71 cm
2 while that of W is 33 cm
2 . At first, V contained water to a height of 49 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
= 71 x 49
= 3479 cm
3 (b)
Total base areas
= 71 + 71 + 33
= 175 cm
2 Height of water if the total base area is 175 cm
2 = 3479 ÷ 175
= 19.88 cm
New height of the water level in V
= 19.88 x 2
= 39.76 cm
Answer(s): (a) 3479 cm
3; (b) 39.76 cm