T and U are two rectangular containers. The base area of T is 92 cm
2 while that of U is 44 cm
2 . At first, T contained water to a height of 60 cm and U was empty, as shown.
- What was the volume of the water in T at first?
- Daniel then poured some water from T to U. After that, the height of the water level in T was thrice that in U. What was the new height of the water level in T?
(a)
Volume of water in T
= 92 x 60
= 5520 cm
3 (b)
Total base areas
= 92 x 3 + 44
= 320 cm
2 Height of water if the total base area is 320 cm
2 = 5520 ÷ 320
= 17.25 cm
New height of the water level in T
= 17.25 x 3
= 51.75 cm
Answer(s): (a) 5520 cm
3; (b) 51.75 cm