Marion filled a rectangular container which had a base area of 125 cm
2 and a height of 22.6 cm with water. Then, she placed 5 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 0.32 cm.
- What was the length of each side of the metal cube?
- After Marion removed the metal cubes from the container, she poured all the water from the container to fill tins of 0.86 ℓ. What was the maximum number of tins she could fill?
(a)
Volume of 5 cubes
= 125 x 0.32
= 40 cm
3
Volume of 1 cube
= 40 ÷ 5
= 8 cm
3
Length of the cube
= ³√8
= 2 cm
(b)
Volume of water
= 125 x 22.6
= 2825 cm
3 Number of tins that Marion can fill
= 2825 ÷ 860
= 3 r 245
Maximum number of tins that Marion can fill = 3
Answer(s): (a) 2 cm; (b) 3