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primary 5 | Maths
| Area & Volume
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Hi.. can someone please explain why we cannot just use volume of cuboid and divide it by volume of cube ?
Date Posted: 10 months ago
Views: 188
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Volume of cube is 4*4*4
Date Posted:
10 months ago
Hello there. The reason why is because the cubes are not cut nor melted to fit the container.
30 of the cubes can fit the length of the container (30×4cm=120cm) exactly.
You can only fit 25 cubes along the width (25×4cm=100cm, which is less than 103cm) since 26 cubes will take up a stretch of 104cm, being 1 cm more than the width of the container. Of course, fitting 25 cubes along the width of the container leaves a 1cm-gap that is not utilised, but that cannot be helped.
Similarly, you can only fit 16 cubes along the height of the container (16×4cm=64cm, which is less than 66cm) since 17 cubes will take up a total height of 68cm, being 2 cm more than the height of the container.
Thus the maximum cubes that the container can hold is : 30 x 25 x 16 = 12000
Hope this helps you to understand. Regards.
30 of the cubes can fit the length of the container (30×4cm=120cm) exactly.
You can only fit 25 cubes along the width (25×4cm=100cm, which is less than 103cm) since 26 cubes will take up a stretch of 104cm, being 1 cm more than the width of the container. Of course, fitting 25 cubes along the width of the container leaves a 1cm-gap that is not utilised, but that cannot be helped.
Similarly, you can only fit 16 cubes along the height of the container (16×4cm=64cm, which is less than 66cm) since 17 cubes will take up a total height of 68cm, being 2 cm more than the height of the container.
Thus the maximum cubes that the container can hold is : 30 x 25 x 16 = 12000
Hope this helps you to understand. Regards.
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