Irene filled a rectangular container which had a base area of 108 cm
2 and a height of 23.1 cm with water. Then, she placed 6 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 40.5 cm.
- What was the length of each side of the metal cube?
- After Irene removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.35 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 6 cubes
= 108 x 40.5
= 4374 cm
3
Volume of 1 cube
= 4374 ÷ 6
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 108 x 23.1
= 2494.8 cm
3 Number of jars that Irene can fill
= 2494.8 ÷ 350
= 7 r 44.8
Maximum number of jars that Irene can fill = 7
Answer(s): (a) 9 cm; (b) 7