If the volume of a cube is 3375 cm3, what is the length of one side?
15 cm
A cube is a solid with all edges equal, and its volume is found by cubing the length of one side.
The governing relation is \(V=a^3\), where \(a\) is the side length.
Here the volume is given as \(a^3=3375\) cm3, so the side is recovered by taking the cube root of the volume.
Thus \(a=\sqrt[3]{3375}\).
Checking, \(15\times15\times15=225\times15=3375\), which confirms the cube root is 15.
Therefore each side of the cube measures 15 cm.
The other options fail this test, since \(12^3=1728\), \(18^3=5832\) and \(20^3=8000\), none of which equals 3375.
Hence, the answer is 15 cm.
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(Use $\pi = \frac{22}{7}$)- A cylindrical rod has an curved surface area of $4,900 \text{ cm}^2$. If the length of the rod is 97 cm, then the radius (in cm) of the rod, correct to two places of decimal, is:
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