Linda filled a rectangular container which had a base area of 40 cm
2 and a height of 34.4 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 17.6 cm.
- What was the length of each side of the metal cube?
- After Linda removed the metal cubes from the container, she poured all the water from the container to fill cans of 0.76 ℓ. What was the maximum number of cans she could fill?
(a)
Volume of 11 cubes
= 40 x 17.6
= 704 cm
3
Volume of 1 cube
= 704 ÷ 11
= 64 cm
3
Length of the cube
= ³√64
= 4 cm
(b)
Volume of water
= 40 x 34.4
= 1376 cm
3 Number of cans that Linda can fill
= 1376 ÷ 760
= 1 r 616
Maximum number of cans that Linda can fill = 1
Answer(s): (a) 4 cm; (b) 1