Wendy filled a rectangular container which had a base area of 90 cm
2 and a height of 38.5 cm with water. Then, she placed 12 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 3.6 cm.
- What was the length of each side of the metal cube?
- After Wendy removed the metal cubes from the container, she poured all the water from the container to fill jars of 0.47 ℓ. What was the maximum number of jars she could fill?
(a)
Volume of 12 cubes
= 90 x 3.6
= 324 cm
3
Volume of 1 cube
= 324 ÷ 12
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 90 x 38.5
= 3465 cm
3 Number of jars that Wendy can fill
= 3465 ÷ 470
= 7 r 175
Maximum number of jars that Wendy can fill = 7
Answer(s): (a) 3 cm; (b) 7