Esther filled a rectangular container which had a base area of 25 cm
2 and a height of 36.9 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 11.88 cm.
- What was the length of each side of the metal cube?
- After Esther removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.46 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 11 cubes
= 25 x 11.88
= 297 cm
3
Volume of 1 cube
= 297 ÷ 11
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 25 x 36.9
= 922.5 cm
3 Number of tins that Esther can fill
= 922.5 ÷ 460
= 2 r 2.5
Maximum number of tins that Esther can fill = 2
Answer(s): (a) 3 cm; (b) 2