Kylie filled a rectangular container which had a base area of 30 cm
2 and a height of 37.8 cm with water. Then, she placed 12 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 400 cm.
- What was the length of each side of the metal cube?
- After Kylie removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.13 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 12 cubes
= 30 x 400
= 12000 cm
3
Volume of 1 cube
= 12000 ÷ 12
= 1000 cm
3
Length of the cube
= ³√1000
= 10 cm
(b)
Volume of water
= 30 x 37.8
= 1134 cm
3 Number of tins that Kylie can fill
= 1134 ÷ 130
= 8 r 94
Maximum number of tins that Kylie can fill = 8
Answer(s): (a) 10 cm; (b) 8