Ivory filled a rectangular container which had a base area of 25 cm
2 and a height of 37.1 cm with water. Then, she placed 10 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 50 cm.
- What was the length of each side of the metal cube?
- After Ivory removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.12 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 10 cubes
= 25 x 50
= 1250 cm
3
Volume of 1 cube
= 1250 ÷ 10
= 125 cm
3
Length of the cube
= ³√125
= 5 cm
(b)
Volume of water
= 25 x 37.1
= 927.5 cm
3 Number of pots that Ivory can fill
= 927.5 ÷ 120
= 7 r 87.5
Maximum number of pots that Ivory can fill = 7
Answer(s): (a) 5 cm; (b) 7