U and V are two rectangular containers. The base area of U is 76 cm
2 while that of V is 38 cm
2 . At first, U contained water to a height of 40 cm and V was empty, as shown.
- What was the volume of the water in U at first?
- Michael 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
= 76 x 40
= 3040 cm
3 (b)
Total base areas
= 76 + 76 + 38
= 190 cm
2 Height of water if the total base area is 190 cm
2 = 3040 ÷ 190
= 16 cm
New height of the water level in U
= 16 x 2
= 32 cm
Answer(s): (a) 3040 cm
3; (b) 32 cm