A large cubical cake needs to be cut into 64 smaller, identical cubical pieces. What is the minimum number of straight cuts required?
9
To cut a cube into 64 smaller cubes, we need a \(4 \times 4 \times 4\) arrangement (since \(4^3 = 64\)).
Along each of the 3 axes (length, width, height), we need 3 cuts each (to create 4 pieces): \(3 \times 3 = 9\) cuts total.
The minimum number of straight cuts = 9.
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Important Questions from 3-D Mensuration
Find the total surface area of a closed cylinder having a base radius of 70 m and a height of 110 m. [Use π = \(22\over7\)]
- The curved surface area of a cylinder is half of its total surface area. If its height is 195 cm, then find its diameter (in cm).
The diameter of the base and slant height of a right circular cone are 30 cm and 113 cm, respectively. Find the volume (in cm³) of the given cone.
(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:
Take $\pi = \frac{22}{7}$ - The volume (in $m^3$) of a cube, each of whose edges is 42 m, is:
