The maximum number of such rectangular blocks that can be packed into the above cube-shaped box is (D) 36.
What is a cuboid?
- A cuboid is a hexahedron, or six-faced solid, in geometry.
- It has quadrilateral faces.
- Cuboid means "like a cube," in the sense that a cuboid can be transformed into a cube by adjusting the length of the edges of the angles between edges and faces.
- In mathematics, a cuboid is a convex polyhedron with the same polyhedral graph as a cube.
To find t the maximum number of such rectangular blocks that can be packed into the above cube-shaped box:
Given:
- Dimensions of the Rectangular block are (l, b, h) = (3, 2, 1).
- Length of an edge of the cube-shaped box = 6.
- To find the maximum number of such rectangular blocks that can be packed into the above cube-shaped box.
- Let ′n′ be the maximum number of rectangular blocks.
The volume of ′n′ rectangular blocks = n × l × b × h.
Volume of the above cube of side (s = 6) = s³ = 6³.
Equating the volume of the above, we get:
Therefore, the maximum number of such rectangular blocks that can be packed into the above cube-shaped box is (D) 36.
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