U and V are two rectangular tanks. The base area of U is 74 cm
2 while that of V is 32 cm
2 . At first, U contained water to a height of 36 cm and V was empty, as shown.
- What was the volume of the water in U at first?
- Justin 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
= 74 x 36
= 2664 cm
3 (b)
Total base areas
= 74 + 74 + 32
= 180 cm
2 Height of water if the total base area is 180 cm
2 = 2664 ÷ 180
= 14.8 cm
New height of the water level in U
= 14.8 x 2
= 29.6 cm
Answer(s): (a) 2664 cm
3; (b) 29.6 cm