Marion filled a rectangular container which had a base area of 100 cm
2 and a height of 39.4 cm with water. Then, she placed 3 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 1.92 cm.
- What was the length of each side of the metal cube?
- After Marion removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.28 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 3 cubes
= 100 x 1.92
= 192 cm
3
Volume of 1 cube
= 192 ÷ 3
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 100 x 39.4
= 3940 cm
3 Number of jars that Marion can fill
= 3940 ÷ 280
= 14 r 20
Maximum number of jars that Marion can fill = 14
Answer(s): (a) 4 cm; (b) 14