U and V are two rectangular containers. The base area of U is 82 cm
2 while that of V is 41 cm
2 . At first, U contained water to a height of 39 cm and V was empty, as shown.
- What was the volume of the water in U at first?
- Tommy 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
= 82 x 39
= 3198 cm
3 (b)
Total base areas
= 82 + 82 + 41
= 205 cm
2 Height of water if the total base area is 205 cm
2 = 3198 ÷ 205
= 15.6 cm
New height of the water level in U
= 15.6 x 2
= 31.2 cm
Answer(s): (a) 3198 cm
3; (b) 31.2 cm