Sarah filled a rectangular container which had a base area of 50 cm
2 and a height of 31.6 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 6.4 cm.
- What was the length of each side of the metal cube?
- After Sarah removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.64 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 5 cubes
= 50 x 6.4
= 320 cm
3
Volume of 1 cube
= 320 ÷ 5
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 50 x 31.6
= 1580 cm
3 Number of cans that Sarah can fill
= 1580 ÷ 640
= 2 r 300
Maximum number of cans that Sarah can fill = 2
Answer(s): (a) 4 cm; (b) 2