Irene filled a rectangular container which had a base area of 105 cm
2 and a height of 27.3 cm with water. Then, she placed 7 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 14.4 cm.
- What was the length of each side of the metal cube?
- After Irene removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.39 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 7 cubes
= 105 x 14.4
= 1512 cm
3
Volume of 1 cube
= 1512 ÷ 7
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 105 x 27.3
= 2866.5 cm
3 Number of pots that Irene can fill
= 2866.5 ÷ 390
= 7 r 136.5
Maximum number of pots that Irene can fill = 7
Answer(s): (a) 6 cm; (b) 7