U and V are two rectangular containers. The base area of U is 70 cm
2 while that of V is 30 cm
2 . At first, U contained water to a height of 45 cm and V was empty, as shown.
- What was the volume of the water in U at first?
- Nick then poured some water from U to V. After that, the height of the water level in U was thrice that in V. What was the new height of the water level in U?
(a)
Volume of water in U
= 70 x 45
= 3150 cm
3 (b)
Total base areas
= 70 x 3 + 30
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 3150 ÷ 240
= 13.125 cm
New height of the water level in U
= 13.125 x 3
= 39.375 cm
Answer(s): (a) 3150 cm
3; (b) 39.375 cm