Min filled a rectangular container which had a base area of 81 cm
2 and a height of 33.7 cm with water. Then, she placed 12 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 32 cm.
- What was the length of each side of the metal cube?
- After Min removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.47 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 12 cubes
= 81 x 32
= 2592 cm
3
Volume of 1 cube
= 2592 ÷ 12
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 81 x 33.7
= 2729.7 cm
3 Number of pots that Min can fill
= 2729.7 ÷ 470
= 5 r 379.7
Maximum number of pots that Min can fill = 5
Answer(s): (a) 6 cm; (b) 5