For the cuboid shown in Fig. 16.3,

(i) What is the base of this cuboid?
(ii) What are the lateral faces of this cuboid?
(iii) Name one pair of opposite faces. How many pairs of opposite faces are there? Name them.
(iv) Name all the faces of this cuboid which have X as a vertex. Also, name those which have VW as a side.
(v) Name the edges of this cuboid which meet at the vertex P. Also, name those faces which meet at this vertex.

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Solution

(i) UVWX is the base of the cuboid.

(ii) The lateral faces for the base UVWX are UXSP, QVWR, PQVU and SXWR.

(iii) Any one pair of opposite faces among the lateral faces of the base are PQVU and SXWR, or UXSP and QVWR.
There are two pairs of opposite faces among the lateral faces of the base of the cuboid.

(iv) The faces, which have one of the vertex as X, are UVWX, UXSP and SXWR.
The faces, which have VW as side, are QVWR and UVWX.

v) Edges which meet at P are UP, SP, and PQ.
Faces which meet at vertex P are PQRS, UPSX and PQVU.

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