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 = <u>36 cm</u>
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, <em>l</em>, width, <em>w</em>, and height, <em>h</em>
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, <em>h</em>
4 edges with the same length as the width, <em>w</em>
4 edges with the same length as the length, <em>l</em>
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 = <u>36 cm</u>.
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