Betty filled a rectangular container which had a base area of 40 cm
2 and a height of 21.4 cm with water. Then, she placed 9 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 28.125 cm.
- What was the length of each side of the metal cube?
- After Betty removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.83 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 9 cubes
= 40 x 28.125
= 1125 cm
3
Volume of 1 cube
= 1125 ÷ 9
= 125 cm
3
Length of the cube
= ³√125
= 5 cm
(b)
Volume of water
= 40 x 21.4
= 856 cm
3 Number of jars that Betty can fill
= 856 ÷ 830
= 1 r 26
Maximum number of jars that Betty can fill = 1
Answer(s): (a) 5 cm; (b) 1