U and V are two rectangular containers. The base area of U is 72 cm
2 while that of V is 46 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?
- Bryan 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
= 72 x 38
= 2736 cm
3 (b)
Total base areas
= 72 + 72 + 46
= 190 cm
2 Height of water if the total base area is 190 cm
2 = 2736 ÷ 190
= 14.4 cm
New height of the water level in U
= 14.4 x 2
= 28.8 cm
Answer(s): (a) 2736 cm
3; (b) 28.8 cm