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3 years ago

Jasmine has a cube with an edge length of 5 inches. How would the volume of the cube change if the edge length were doubled

1 answer:

4 0

The edge length of a cube was to double, then the scale factor would be 1:2 (1 representing the original cube, and 2 representing the doubled cube). The ratio between the volumes is the scale factor cubed. Therefore the ratio of the volumes would be 1 cubed:2 cubed which simplifies to 1:8.

Final Answer: the volume of the cube with doubled edge lengths would be 8 times as large as the volume of the original cube.

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Svetradugi [14.3K]

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3 years ago

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Lerok [7]

Answer:

$98.28\:\mathrm{ft^3}$

Step-by-step explanation:

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Substituting given values, we get:

$V=2.5\cdot 4.25\cdot 9.25=98.28125\approx \boxed{98.28\:\mathrm{ft^3}}$

Since "Simplify your answers" is very subjective, I've rounded to the nearest hundredth as that is reasonably universal, but you may need to adjust the rounding as desired.

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tankabanditka [31]

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