If the volume of a cube is 3375 cm3, what is the length of one side?
15 cm
The volume of a cube of side \(a\) is given by \(V=a^3\).
Here \(a^3=3375\) cm3.
So \(a=\sqrt[3]{3375}=15\) cm, since \(15^3=3375\).
Therefore each side of the cube measures 15 cm.
Hence, the answer is 15 cm.
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Important Questions from 3-D Mensuration
- Find the surface area of a sphere whose diameter is equal to 98 cm.
- A conical vessel has base radius 31 cm and height 45 cm. Water is poured into the vessel until it is $\frac{2}{3}$ full. Find the volume (in cm³) of water in the vessel.
- A solid metallic sphere of radius 10 cm is melted and recast into 125 identical spheres. What is the ratio of the surface area of the original sphere to the total surface area of 6 smaller spheres so formed?
- Find the volume (in cm³) of the largest right circular cone that can be cut out from a cube with an edge of 8 cm. Use $\pi = \frac{22}{7}$
- The volume of a solid cylinder is 5852 cm³ and its height is 38 cm. What is the total surface area of the solid cylinder? (Round your answer to the nearest integer) (Use $\pi = \frac{22}{7}$)
