U and V are two rectangular tanks. The base area of U is 98 cm
2 while that of V is 34 cm
2 . At first, U contained water to a height of 46 cm and V was empty, as shown.
- What was the volume of the water in U at first?
- Charlie then poured some water from U to V. After that, the height of the water level in U was twice that in V. What was the new height of the water level in U?
(a)
Volume of water in U
= 98 x 46
= 4508 cm
3 (b)
Total base areas
= 98 + 98 + 34
= 230 cm
2 Height of water if the total base area is 230 cm
2 = 4508 ÷ 230
= 19.6 cm
New height of the water level in U
= 19.6 x 2
= 39.2 cm
Answer(s): (a) 4508 cm
3; (b) 39.2 cm