Victoria filled a rectangular container which had a base area of 125 cm
2 and a height of 36.5 cm with water. Then, she placed 10 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 2.16 cm.
- What was the length of each side of the metal cube?
- After Victoria removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.26 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 10 cubes
= 125 x 2.16
= 270 cm
3
Volume of 1 cube
= 270 ÷ 10
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 125 x 36.5
= 4562.5 cm
3 Number of jars that Victoria can fill
= 4562.5 ÷ 260
= 17 r 142.5
Maximum number of jars that Victoria can fill = 17
Answer(s): (a) 3 cm; (b) 17