Rachel filled a rectangular container which had a base area of 56 cm
2 and a height of 38.6 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 42.875 cm.
- What was the length of each side of the metal cube?
- After Rachel removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.82 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 7 cubes
= 56 x 42.875
= 2401 cm
3
Volume of 1 cube
= 2401 ÷ 7
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 56 x 38.6
= 2161.6 cm
3 Number of cans that Rachel can fill
= 2161.6 ÷ 820
= 2 r 521.6
Maximum number of cans that Rachel can fill = 2
Answer(s): (a) 7 cm; (b) 2