Betty filled a rectangular container which had a base area of 24 cm
2 and a height of 37.2 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 128 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 0.73 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 6 cubes
= 24 x 128
= 3072 cm
3
Volume of 1 cube
= 3072 ÷ 6
= 512 cm
3
Length of the cube
= ³√512
= 8 cm
(b)
Volume of water
= 24 x 37.2
= 892.8 cm
3 Number of jars that Betty can fill
= 892.8 ÷ 730
= 1 r 162.8
Maximum number of jars that Betty can fill = 1
Answer(s): (a) 8 cm; (b) 1