Jade filled a rectangular container which had a base area of 45 cm
2 and a height of 35.2 cm with water. Then, she placed 10 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 48 cm.
- What was the length of each side of the metal cube?
- After Jade removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.21 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 10 cubes
= 45 x 48
= 2160 cm
3
Volume of 1 cube
= 2160 ÷ 10
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 45 x 35.2
= 1584 cm
3 Number of jars that Jade can fill
= 1584 ÷ 210
= 7 r 114
Maximum number of jars that Jade can fill = 7
Answer(s): (a) 6 cm; (b) 7