Abi filled a rectangular container which had a base area of 96 cm
2 and a height of 39.8 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 91.125 cm.
- What was the length of each side of the metal cube?
- After Abi removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.56 ℓ. What was the maximum number of bottles she could fill?
(a)
Volume of 12 cubes
= 96 x 91.125
= 8748 cm
3
Volume of 1 cube
= 8748 ÷ 12
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 96 x 39.8
= 3820.8 cm
3 Number of bottles that Abi can fill
= 3820.8 ÷ 560
= 6 r 460.8
Maximum number of bottles that Abi can fill = 6
Answer(s): (a) 9 cm; (b) 6