Joelle filled a rectangular container which had a base area of 45 cm
2 and a height of 21.2 cm with water. Then, she placed 7 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 4.2 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 pots of 0.23 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 7 cubes
= 45 x 4.2
= 189 cm
3
Volume of 1 cube
= 189 ÷ 7
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 45 x 21.2
= 954 cm
3 Number of pots that Joelle can fill
= 954 ÷ 230
= 4 r 34
Maximum number of pots that Joelle can fill = 4
Answer(s): (a) 3 cm; (b) 4