U and V are two rectangular containers. The base area of U is 90 cm
2 while that of V is 42 cm
2 . At first, U contained water to a height of 52 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 thrice that in V. What was the new height of the water level in U?
(a)
Volume of water in U
= 90 x 52
= 4680 cm
3 (b)
Total base areas
= 90 x 3 + 42
= 312 cm
2 Height of water if the total base area is 312 cm
2 = 4680 ÷ 312
= 15 cm
New height of the water level in U
= 15 x 3
= 45 cm
Answer(s): (a) 4680 cm
3; (b) 45 cm