Joelle filled a rectangular container which had a base area of 60 cm
2 and a height of 36.9 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 43.2 cm.
- What was the length of each side of the metal cube?
- After Joelle removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.29 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 12 cubes
= 60 x 43.2
= 2592 cm
3
Volume of 1 cube
= 2592 ÷ 12
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 60 x 36.9
= 2214 cm
3 Number of cans that Joelle can fill
= 2214 ÷ 290
= 7 r 184
Maximum number of cans that Joelle can fill = 7
Answer(s): (a) 6 cm; (b) 7