Answer the questions based on the figure.

(1) Write the names of the vertices.
(2) Write the names of the edges.
(3) Write the names of the faces.
(4) To which edges is the vertex R common?
(5) To which edges is the vertex W common?
(6) At which vertex do the edges PW and WT intersect?
(7) Write the name of the face opposite the square TUVW.

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Solution

(1) The meeting point of the edges of a cube is known as vertex of the cube.
Here, the vertices are P, Q, R, S, U, V, W and T.
(2) The meeting point of the faces of a cube is known as the edge of the cube.
The number of edges is 12.
Here, the edges are seg PS, seg QT, seg SV, seg RU, seg PQ, seg SR, seg QR, seg VU, seg WT, seg WV, seg PW and seg TU.
(3) the flat surface of a cube is known as the face of the cube.The number of faces of a cube is 6.
Here, the faces are square PQRS, square UVWT, square PWVS, square QRUT, square SRUV and square PQTW.
(4) seg SR, seg RU and seg QR meet at point R. Therefore, R is common to seg SR, seg RU and seg QR
(5) seg VW, seg TW and seg PW meet at point W. Therefore, W is common to seg VW, seg TW and seg PW
(6) The edges PW and WT intersect at the vertex W.
(7) Square PQRS is the face opposite the square TUVW.

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