Question

A cuboid in which the sum of its dimensions is 9 cm., then the sum of its edge lengths - cm. (18 or 27 or 36 or 45)​

Answer 1

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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