Esther filled a rectangular container which had a base area of 40 cm
2 and a height of 36.3 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 68.6 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 0.55 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 8 cubes
= 40 x 68.6
= 2744 cm
3
Volume of 1 cube
= 2744 ÷ 8
= 343 cm
3
Length of the cube
= ³√343
= 7 cm
(b)
Volume of water
= 40 x 36.3
= 1452 cm
3 Number of tins that Esther can fill
= 1452 ÷ 550
= 2 r 352
Maximum number of tins that Esther can fill = 2
Answer(s): (a) 7 cm; (b) 2