U and V are two rectangular tanks. The base area of U is 84 cm
2 while that of V is 42 cm
2 . At first, U contained water to a height of 38 cm and V was empty, as shown.
- What was the volume of the water in U at first?
- Ethan 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
= 84 x 38
= 3192 cm
3 (b)
Total base areas
= 84 + 84 + 42
= 210 cm
2 Height of water if the total base area is 210 cm
2 = 3192 ÷ 210
= 15.2 cm
New height of the water level in U
= 15.2 x 2
= 30.4 cm
Answer(s): (a) 3192 cm
3; (b) 30.4 cm