Emma filled a rectangular container which had a base area of 45 cm
2 and a height of 21.7 cm with water. Then, she placed 9 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 5.4 cm.
- What was the length of each side of the metal cube?
- After Emma removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.19 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 9 cubes
= 45 x 5.4
= 243 cm
3
Volume of 1 cube
= 243 ÷ 9
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 45 x 21.7
= 976.5 cm
3 Number of tins that Emma can fill
= 976.5 ÷ 190
= 5 r 26.5
Maximum number of tins that Emma can fill = 5
Answer(s): (a) 3 cm; (b) 5