问题1.以下哪个是立方体的网?
解决方案:
Diagram (iv), (v), (vi) are the nets for a cube.
问题2.命名可以折叠每个网制成的多面体:
解决方案:
(i) By folding each net a square pyramid can be formed.
(ii) By folding each net a triangular prism can be formed.
(iii) By folding each net a triangular prism can be formed.
(iv) By folding each net a hexagonal prism can be formed.
(v) By folding each net a hexagonal prism can be formed.
(vi) By folding each net a Cuboid can be formed.
问题3.骰子是立方体,对面的数字必须总计7。以下哪个是骰子?
解决方案:
The Figure (i) form a dice and the total sum of numbers on opposite faces is 7.
问题4.为以下每个多面体绘制网格:
解决方案:
(i) Below image shows the net pattern for cube.
(ii) Below image shows the pattern for triangular prism.
(iii) Below image shows the net pattern for hexagonal prism.
(iv) Below image shows the net pattern for pentagonal pyramid.
问题5.匹配以下数字:
Solution:
(a) ⇒ (iv)
Here, the multiplication of numbers on adjacent faces are equal, i.e., 6×4 = 24 and 4×4 = 16
(b) ⇒ (i)
Here, the multiplication of numbers on adjacent faces are equal, i.e., 3×3 = 9 and 8×3 = 24
(c) ⇒ (ii)
Here, the multiplication of numbers on adjacent faces are equal, i.e., 6×4 = 24 and 6×3 = 18
(d) ⇒ (iii)
Here, the multiplication of numbers on adjacent faces are equal, i.e., 3×3 = 9 and 3×9 = 7