V and W are two rectangular containers. The base area of V is 86 cm
2 while that of W is 30 cm
2 . At first, V contained water to a height of 36 cm and W was empty, as shown.
- What was the volume of the water in V at first?
- Vaidev 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
= 86 x 36
= 3096 cm
3 (b)
Total base areas
= 86 x 3 + 30
= 288 cm
2 Height of water if the total base area is 288 cm
2 = 3096 ÷ 288
= 10.75 cm
New height of the water level in V
= 10.75 x 3
= 32.25 cm
Answer(s): (a) 3096 cm
3; (b) 32.25 cm