Jen filled a rectangular container which had a base area of 64 cm
2 and a height of 39.1 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 42.875 cm.
- What was the length of each side of the metal cube?
- After Jen removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.63 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 8 cubes
= 64 x 42.875
= 2744 cm
3
Volume of 1 cube
= 2744 ÷ 8
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 64 x 39.1
= 2502.4 cm
3 Number of jars that Jen can fill
= 2502.4 ÷ 630
= 3 r 612.4
Maximum number of jars that Jen can fill = 3
Answer(s): (a) 7 cm; (b) 3