ICSE-VIII-Mathematics

19: Representing 3-D in 2-D Class 8 Maths

with Solutions - page 2

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  • #7-iii
    14
    26
    z
    Ans : F + V - E = 2
    ⇒ 14 + 26 - Z = 2
    ⇒ -Z = 2 - 40
    ⇒ Z = 38
  • Qstn #8
    What is the least number of planes that can enclose a solid? What is the name of the solid.
    Ans : The least number of planes that can enclose a solid is 4.
    The name of the solid is Tetrahedron.
  • Qstn #9
    Is a square prism same as a cube?
    Ans : Yes, a square prism is same as a cube.
  • Qstn #10
    A cubical box is 6 cm x 4 cm x 2 cm. Draw two different nets of it.
    Ans :
  • Qstn #11
    Dice are cubes where the sum of the numbers on the opposite faces is 7. Find the missing numbers a, b and c.
    Ans :
  • Qstn #12
    Name the polyhedron that can be made by folding each of the following nets:
  • #12-i
    Ans : Triangular prism. It has 3 rectangles and 2 triangles.
  • #12-ii
    Ans : Triangular prism. It has 3 rectangles and 2 triangles.
  • #12-iii
    Ans : Hexagonal pyramid as it has a hexagonal base and 6 triangles.
  • Qstn #13
    Draw nets for the following polyhedrons:
    Ans : Net of pentagonal pyramid:

    Net of pentagonal pyramid: