Julie filled a rectangular container which had a base area of 45 cm
2 and a height of 35.6 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 129.6 cm.
- What was the length of each side of the metal cube?
- After Julie removed the metal cubes from the container, she poured all the water from the container to fill pots of 0.38 ℓ. What was the maximum number of pots she could fill?
(a)
Volume of 8 cubes
= 45 x 129.6
= 5832 cm
3
Volume of 1 cube
= 5832 ÷ 8
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 45 x 35.6
= 1602 cm
3 Number of pots that Julie can fill
= 1602 ÷ 380
= 4 r 82
Maximum number of pots that Julie can fill = 4
Answer(s): (a) 9 cm; (b) 4