Page 93 - MAT KS3 Y8 Cambridge CheckPoint
P. 93

8.4 Drawing nets of solids


               2  Which of the following could be the net of a cube?



                  A             B               C            D               E             F          G



               3  Draw a sketch of a net of this tetrahedron (triangular-based pyramid).




               4  Draw an accurate net for each of these 3D solids.
                  a  cube             3 cm                     b cuboid                    6 cm


                                                                           3 cm
                          3 cm
                                                                                                     4 cm
                                           3 cm
                  c  triangular prism (isosceles triangle)     d triangular prism (right-angled triangle)
                                          5 cm                                         45 mm


                       4 cm                                       27 mm
                                         7 cm
                                                                                           65 mm
                           6 cm                                              36 mm
                                                                                A
               5  Here is the net of a cuboid.
                    When the net is folded to make the cuboid,
                                                                       B                 C
                  side B meets with side D.                         D                       E           F
                  Which side meets with:
                  a  side C        b side K         c side G   G                                                 H
                  d  side A        e side N         f side M?        I          J           K
                                                                                               L                 M

                                                                                                        N
               6  Dakarai has a cuboid that measures 8 cm by 5 cm, by 4 cm.
                  He labels the vertices (corners) A, B, C, D, E, F, G and H, as shown.       A      8 cm       B
                                                                                        D                   C
                                                                                     5 cm
                                                                                             E                   F
                                                                                                              4 cm
                                                                                        H                   G
                  He draws a line from A to H to C to A.
                                                                                          A                     B

                                                                                   D                        C
                                                                                         E                       F

                                                                                   H
                                                                                                           G
                  a  Draw an accurate net of Dakarai’s cuboid.
                  b  Measure the total length of the line that Dakarai draws.
                    Give your answer to the nearest millimetre.

                                                                                        8 Shapes and geometric reasoning  91
   88   89   90   91   92   93   94   95   96   97   98