Lucy filled a rectangular tank which had a base area of 100 cm
2 and a height of 26.8 cm with water. Then, she placed 7 identical metal cubes into this tank. As a result, the height of the water in the rectangular tank increased by 15.12 cm.
- What was the length of each side of the metal cube?
- After Lucy removed the metal cubes from the tank, she poured all the water from the tank to fill pots of 0.24 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 7 cubes
= 100 x 15.12
= 1512 cm
3
Volume of 1 cube
= 1512 ÷ 7
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 100 x 26.8
= 2680 cm
3 Number of pots that Lucy can fill
= 2680 ÷ 240
= 11 r 40
Maximum number of pots that Lucy can fill = 11
Answer(s): (a) 6 cm; (b) 11