T and U are two rectangular containers. The base area of T is 70 cm
2 while that of U is 30 cm
2 . At first, T contained water to a height of 54 cm and U was empty, as shown.
- What was the volume of the water in T at first?
- David 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
= 70 x 54
= 3780 cm
3 (b)
Total base areas
= 70 x 3 + 30
= 240 cm
2 Height of water if the total base area is 240 cm
2 = 3780 ÷ 240
= 15.75 cm
New height of the water level in T
= 15.75 x 3
= 47.25 cm
Answer(s): (a) 3780 cm
3; (b) 47.25 cm