V and W are two rectangular tanks. The base area of V is 77 cm
2 while that of W is 49 cm
2 . At first, V contained water to a height of 38 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 thrice that in W. What was the new height of the water level in V?
(a)
Volume of water in V
= 77 x 38
= 2926 cm
3 (b)
Total base areas
= 77 x 3 + 49
= 280 cm
2 Height of water if the total base area is 280 cm
2 = 2926 ÷ 280
= 10.45 cm
New height of the water level in V
= 10.45 x 3
= 31.35 cm
Answer(s): (a) 2926 cm
3; (b) 31.35 cm