V and W are two rectangular containers. The base area of V is 70 cm
2 while that of W is 40 cm
2 . At first, V contained water to a height of 56 cm and W was empty, as shown.
- What was the volume of the water in V at first?
- Charlie then poured some water from V to W. After that, the height of the water level in V was thrice that in W. What was the new height of the water level in V?
(a)
Volume of water in V
= 70 x 56
= 3920 cm
3 (b)
Total base areas
= 70 x 3 + 40
= 250 cm
2 Height of water if the total base area is 250 cm
2 = 3920 ÷ 250
= 15.68 cm
New height of the water level in V
= 15.68 x 3
= 47.04 cm
Answer(s): (a) 3920 cm
3; (b) 47.04 cm