Xylia filled a rectangular container which had a base area of 100 cm
2 and a height of 31.3 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 0.4 cm.
- What was the length of each side of the metal cube?
- After Xylia removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.44 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 5 cubes
= 100 x 0.4
= 40 cm
3
Volume of 1 cube
= 40 ÷ 5
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 100 x 31.3
= 3130 cm
3 Number of cans that Xylia can fill
= 3130 ÷ 440
= 7 r 50
Maximum number of cans that Xylia can fill = 7
Answer(s): (a) 2 cm; (b) 7