Esther filled a rectangular container which had a base area of 50 cm
2 and a height of 20.4 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 21.6 cm.
- What was the length of each side of the metal cube?
- After Esther removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.22 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 5 cubes
= 50 x 21.6
= 1080 cm
3
Volume of 1 cube
= 1080 ÷ 5
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 50 x 20.4
= 1020 cm
3 Number of cans that Esther can fill
= 1020 ÷ 220
= 4 r 140
Maximum number of cans that Esther can fill = 4
Answer(s): (a) 6 cm; (b) 4