Jane filled a rectangular container which had a base area of 128 cm
2 and a height of 37.8 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 16.875 cm.
- What was the length of each side of the metal cube?
- After Jane removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.24 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 10 cubes
= 128 x 16.875
= 2160 cm
3
Volume of 1 cube
= 2160 ÷ 10
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 128 x 37.8
= 4838.4 cm
3 Number of cans that Jane can fill
= 4838.4 ÷ 240
= 20 r 38.4
Maximum number of cans that Jane can fill = 20
Answer(s): (a) 6 cm; (b) 20