Hilda filled a rectangular container which had a base area of 40 cm
2 and a height of 39.6 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 218.7 cm.
- What was the length of each side of the metal cube?
- After Hilda removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.86 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 12 cubes
= 40 x 218.7
= 8748 cm
3
Volume of 1 cube
= 8748 ÷ 12
= 729 cm
3
Length of the cube
= ³√729
= 9 cm
(b)
Volume of water
= 40 x 39.6
= 1584 cm
3 Number of jars that Hilda can fill
= 1584 ÷ 860
= 1 r 724
Maximum number of jars that Hilda can fill = 1
Answer(s): (a) 9 cm; (b) 1