Anna filled a rectangular container which had a base area of 40 cm
2 and a height of 39.6 cm with water. Then, she placed 11 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 200.475 cm.
- What was the length of each side of the metal cube?
- After Anna removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.64 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 11 cubes
= 40 x 200.475
= 8019 cm
3
Volume of 1 cube
= 8019 ÷ 11
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 40 x 39.6
= 1584 cm
3 Number of cans that Anna can fill
= 1584 ÷ 640
= 2 r 304
Maximum number of cans that Anna can fill = 2
Answer(s): (a) 9 cm; (b) 2