U and V are two rectangular containers. The base area of U is 96 cm
2 while that of V is 32 cm
2 . At first, U contained water to a height of 56 cm and V was empty, as shown.
- What was the volume of the water in U at first?
- Zane 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
= 96 x 56
= 5376 cm
3 (b)
Total base areas
= 96 x 3 + 32
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 5376 ÷ 320
= 16.8 cm
New height of the water level in U
= 16.8 x 3
= 50.4 cm
Answer(s): (a) 5376 cm
3; (b) 50.4 cm