Cindy filled a rectangular container which had a base area of 30 cm
2 and a height of 39.8 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 204.8 cm.
- What was the length of each side of the metal cube?
- After Cindy removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.87 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 12 cubes
= 30 x 204.8
= 6144 cm
3
Volume of 1 cube
= 6144 ÷ 12
= 512 cm
3
Length of the cube
= ³√512
= 8 cm
(b)
Volume of water
= 30 x 39.8
= 1194 cm
3 Number of bottles that Cindy can fill
= 1194 ÷ 870
= 1 r 324
Maximum number of bottles that Cindy can fill = 1
Answer(s): (a) 8 cm; (b) 1