Fiona filled a rectangular container which had a base area of 60 cm
2 and a height of 38.3 cm with water. Then, she placed 5 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 60.75 cm.
- What was the length of each side of the metal cube?
- After Fiona removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.81 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 5 cubes
= 60 x 60.75
= 3645 cm
3
Volume of 1 cube
= 3645 ÷ 5
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 60 x 38.3
= 2298 cm
3 Number of pots that Fiona can fill
= 2298 ÷ 810
= 2 r 678
Maximum number of pots that Fiona can fill = 2
Answer(s): (a) 9 cm; (b) 2