Xylia filled a rectangular container which had a base area of 27 cm
2 and a height of 38.2 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 cm.
- What was the length of each side of the metal cube?
- After Xylia removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.28 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 11 cubes
= 27 x 11
= 297 cm
3
Volume of 1 cube
= 297 ÷ 11
= 27 cm
3
Length of the cube
= ³√27
= 3 cm
(b)
Volume of water
= 27 x 38.2
= 1031.4 cm
3 Number of tins that Xylia can fill
= 1031.4 ÷ 280
= 3 r 191.4
Maximum number of tins that Xylia can fill = 3
Answer(s): (a) 3 cm; (b) 3