Jean filled a rectangular container which had a base area of 120 cm
2 and a height of 31.3 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 42.525 cm.
- What was the length of each side of the metal cube?
- After Jean removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.25 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 7 cubes
= 120 x 42.525
= 5103 cm
3
Volume of 1 cube
= 5103 ÷ 7
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 120 x 31.3
= 3756 cm
3 Number of tins that Jean can fill
= 3756 ÷ 250
= 15 r 6
Maximum number of tins that Jean can fill = 15
Answer(s): (a) 9 cm; (b) 15