Min filled a rectangular tank which had a base area of 32 cm
2 and a height of 21.7 cm with water. Then, she placed 3 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 0.75 cm.
- What was the length of each side of the metal cube?
- After Min removed the metal cubes from the tank, she poured all the water from the tank to fill tins of 0.55 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 3 cubes
= 32 x 0.75
= 24 cm
3
Volume of 1 cube
= 24 ÷ 3
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 32 x 21.7
= 694.4 cm
3 Number of tins that Min can fill
= 694.4 ÷ 550
= 1 r 144.4
Maximum number of tins that Min can fill = 1
Answer(s): (a) 2 cm; (b) 1