Dana filled a rectangular container which had a base area of 84 cm
2 and a height of 29.7 cm with water. Then, she placed 7 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 2.25 cm.
- What was the length of each side of the metal cube?
- After Dana removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.57 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 7 cubes
= 84 x 2.25
= 189 cm
3
Volume of 1 cube
= 189 ÷ 7
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 84 x 29.7
= 2494.8 cm
3 Number of jars that Dana can fill
= 2494.8 ÷ 570
= 4 r 214.8
Maximum number of jars that Dana can fill = 4
Answer(s): (a) 3 cm; (b) 4