Rachel filled a rectangular tank which had a base area of 45 cm
2 and a height of 20.9 cm with water. Then, she placed 12 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 194.4 cm.
- What was the length of each side of the metal cube?
- After Rachel removed the metal cubes from the tank, she poured all the water from the tank to fill tins of 0.44 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 12 cubes
= 45 x 194.4
= 8748 cm
3
Volume of 1 cube
= 8748 ÷ 12
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 45 x 20.9
= 940.5 cm
3 Number of tins that Rachel can fill
= 940.5 ÷ 440
= 2 r 60.5
Maximum number of tins that Rachel can fill = 2
Answer(s): (a) 9 cm; (b) 2