Emma filled a rectangular container which had a base area of 40 cm
2 and a height of 38.9 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 145.8 cm.
- What was the length of each side of the metal cube?
- After Emma removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.28 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 8 cubes
= 40 x 145.8
= 5832 cm
3
Volume of 1 cube
= 5832 ÷ 8
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 40 x 38.9
= 1556 cm
3 Number of cans that Emma can fill
= 1556 ÷ 280
= 5 r 156
Maximum number of cans that Emma can fill = 5
Answer(s): (a) 9 cm; (b) 5