Jaslyn filled a rectangular container which had a base area of 120 cm
2 and a height of 21.6 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 21.6 cm.
- What was the length of each side of the metal cube?
- After Jaslyn removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.66 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 12 cubes
= 120 x 21.6
= 2592 cm
3
Volume of 1 cube
= 2592 ÷ 12
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 120 x 21.6
= 2592 cm
3 Number of jars that Jaslyn can fill
= 2592 ÷ 660
= 3 r 612
Maximum number of jars that Jaslyn can fill = 3
Answer(s): (a) 6 cm; (b) 3