Jean filled a rectangular container which had a base area of 125 cm
2 and a height of 31.4 cm with water. Then, she placed 4 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 6.912 cm.
- What was the length of each side of the metal cube?
- After Jean removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.84 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 4 cubes
= 125 x 6.912
= 864 cm
3
Volume of 1 cube
= 864 ÷ 4
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 125 x 31.4
= 3925 cm
3 Number of pots that Jean can fill
= 3925 ÷ 840
= 4 r 565
Maximum number of pots that Jean can fill = 4
Answer(s): (a) 6 cm; (b) 4