Emily filled a rectangular tank which had a base area of 54 cm
2 and a height of 28.6 cm with water. Then, she placed 10 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 40 cm.
- What was the length of each side of the metal cube?
- After Emily removed the metal cubes from the tank, she poured all the water from the tank to fill tins of 0.25 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 10 cubes
= 54 x 40
= 2160 cm
3
Volume of 1 cube
= 2160 ÷ 10
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 54 x 28.6
= 1544.4 cm
3 Number of tins that Emily can fill
= 1544.4 ÷ 250
= 6 r 44.4
Maximum number of tins that Emily can fill = 6
Answer(s): (a) 6 cm; (b) 6