Lucy filled a rectangular container which had a base area of 32 cm
2 and a height of 25.7 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 31.25 cm.
- What was the length of each side of the metal cube?
- After Lucy 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 8 cubes
= 32 x 31.25
= 1000 cm
3
Volume of 1 cube
= 1000 ÷ 8
= 125 cm
3
Length of the cube
= ³√125
= 5 cm
(b)
Volume of water
= 32 x 25.7
= 822.4 cm
3 Number of jars that Lucy can fill
= 822.4 ÷ 260
= 3 r 42.4
Maximum number of jars that Lucy can fill = 3
Answer(s): (a) 5 cm; (b) 3