Kathy filled a rectangular container which had a base area of 40 cm
2 and a height of 35.5 cm with water. Then, she placed 11 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 59.4 cm.
- What was the length of each side of the metal cube?
- After Kathy removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.23 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 11 cubes
= 40 x 59.4
= 2376 cm
3
Volume of 1 cube
= 2376 ÷ 11
= 216 cm
3
Length of the cube
= ³√216
= 6 cm
(b)
Volume of water
= 40 x 35.5
= 1420 cm
3 Number of jars that Kathy can fill
= 1420 ÷ 230
= 6 r 40
Maximum number of jars that Kathy can fill = 6
Answer(s): (a) 6 cm; (b) 6