The number of sides or edges on a cuboid are twelve, and the sum of the
edges is the sum of the twelve edges.
The sum of the edge lengths = 36 cm
Reasons:
The given parameters are;
The sum of the dimension of the cuboid = 9 cm
Required:
The value sum of the dimension of the edges the cuboid.
Solution:
The dimensions of a cuboid are; Length, l, width, w, and height, h
We get;
l + w + h = 9
The number of times that each dimension appear = 4 times
4 edges with the same length as the height, h
4 edges with the same length as the width, w
4 edges with the same length as the length, l
The sum of the edge lengths is therefore; Sum Edges = 4·l + 4·w + 4·h
Which gives;
Sum Edges = 4·l + 4·w + 4·h = 4 × (l + w + h) = 4 × 9 = 36
The sum of the edge lengths = 36 cm.
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