Xandra filled a rectangular container which had a base area of 48 cm
2 and a height of 24.4 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 36 cm.
- What was the length of each side of the metal cube?
- After Xandra removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.62 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 8 cubes
= 48 x 36
= 1728 cm
3
Volume of 1 cube
= 1728 ÷ 8
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 48 x 24.4
= 1171.2 cm
3 Number of tins that Xandra can fill
= 1171.2 ÷ 620
= 1 r 551.2
Maximum number of tins that Xandra can fill = 1
Answer(s): (a) 6 cm; (b) 1