Zara filled a rectangular container which had a base area of 60 cm
2 and a height of 28.4 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 25 cm.
- What was the length of each side of the metal cube?
- After Zara removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.41 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 12 cubes
= 60 x 25
= 1500 cm
3
Volume of 1 cube
= 1500 ÷ 12
= 125 cm
3
Length of the cube
= ³√125
= 5 cm
(b)
Volume of water
= 60 x 28.4
= 1704 cm
3 Number of cans that Zara can fill
= 1704 ÷ 410
= 4 r 64
Maximum number of cans that Zara can fill = 4
Answer(s): (a) 5 cm; (b) 4