U and V are two rectangular containers. The base area of U is 78 cm
2 while that of V is 44 cm
2 . At first, U contained water to a height of 48 cm and V was empty, as shown.
- What was the volume of the water in U at first?
- Elijah 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
= 78 x 48
= 3744 cm
3 (b)
Total base areas
= 78 + 78 + 44
= 200 cm
2 Height of water if the total base area is 200 cm
2 = 3744 ÷ 200
= 18.72 cm
New height of the water level in U
= 18.72 x 2
= 37.44 cm
Answer(s): (a) 3744 cm
3; (b) 37.44 cm