$CATEGORY: Maths - TicTacLearn/9. Boxes and Sketches

//Multiple Choice(12)

What is the shape of a three-dimensional object with 2 triangular faces and 3 rectangular faces?
{
~ Cube
~ Cone
= Triangular prism
~ Sphere
}

How many faces does a triangular prism have in total?
{
~ 3
~ 4
= 5
~ 6
}

An open cone has how many curved surfaces?
{
= 1
~ 2
~ 3
~ 4
}

What is the shape of the net of an open cone?
{
~ Rectangle
= Sector of a circle
~ Triangle
~ Cube
}

Can a two-dimensional shape with 6 rectangular faces always form a cuboid when folded?
{
~ Yes
= No
~ Only if folded correctly
~ Only if all rectangles are equal
}

Which of the following shapes cannot be a net of a cube?
{
~ 6 squares arranged in a straight line
~ 6 squares arranged in a "T" shape
= 6 squares arranged randomly
~ 6 squares arranged in a cross-like shape
}

An open cone is a three-dimensional object that has:
{
= 1 curved surface and 1 flat circular surface.
~ 2 curved surfaces.
~ 1 flat triangular surface.
~ 1 curved surface and 2 triangular surfaces.
}

What will happen if two surfaces in a net overlap while folding?
{
~ It will form a proper 3D shape.
= The shape will not be formed correctly.
~ It will form a larger box.
~ The shape will have no edges.
}

How many surfaces does a correct net for a cuboid need to have?
{
~ 4
~ 5
= 6
~ 7
}

Can every shape with 6 square faces be folded into a cube?
{
~ Yes
= No
~ Only if the squares are identical
~ Only if folded carefully
}

A net with 6 square faces arranged in a straight line cannot form a cube because:
{
~ It has no edges.
= The arrangement does not allow folding into a closed shape.
~ The squares are unequal.
~ It has too many faces.
}

A triangular prism has how many edges?
{
= 9
~ 8
~ 10
~ 7
}

//True or False(12)

The net of a triangular prism must include 3 triangular faces. {F}

A triangular prism is a three-dimensional shape that includes both rectangular and triangular faces. {T}

An open cone has a circular base and a single curved surface. {T}

A triangular prism cannot be formed if the net has overlapping edges. {T}

A cuboid’s net always folds into a box if all faces are rectangular. {F}

The net of an open cone does not include a flat circular base. {T}

Every net with 6 square faces will fold into a cube-shaped box. {F}

A triangular prism’s net must have exactly 5 faces in total. {T}

If a net overlaps when folded, it cannot form a proper three-dimensional shape. {T}

A triangular prism always has an equal number of rectangular and triangular faces. {F}

The net of a cube must have square faces of equal size. {T}

A cube’s net can have overlapping squares and still form a cube. {F}

//Numericals (12)

A net has 3 rectangular faces and 2 triangular faces. How many faces does the resulting shape have when folded?
{
~ 4
= 5
~ 6
~ 7
}

A cone’s curved surface is created by folding how many flat surfaces?
{
= 1
~ 2
~ 3
~ 0
}

If a cuboid’s net has 6 rectangular faces, how many faces will the folded shape have?
{
~ 4
~ 5
= 6
~ 7
}

A net with 6 square faces forms a closed box. How many edges will the resulting box have?
{
~ 8
~ 10
= 12
~ 14
}

If a triangular prism’s net includes overlapping rectangles, how many faces will it lose when folded?
{
~ 1
= 2
~ 3
~ None
}

A cube’s net has 6 square faces. If 2 faces are removed, how many square faces will remain visible when folded?
{
~ 2
~ 3
= 4
~ 5
}

A triangular prism has 2 triangular faces. If one triangular face is removed, how many faces remain when folded?
{
~ 3
= 4
~ 5
~ 6
}

A triangular prism’s net has how many total sides across its rectangular and triangular faces?
{
= 9
~ 10
~ 12
~ 8
}

A cuboid’s net has 6 rectangular faces. If 1 face is removed, how many edges will the folded cuboid have?
{
~ 8
= 10
~ 12
~ 14
}

A triangular prism’s net has 3 rectangular faces. If one rectangle is removed, how many edges will the folded shape lose?
{
~ 1
= 2
~ 3
~ 4
}

If a cube’s net overlaps, how many square faces will remain visible when folded?
{
~ 4
= 5 
~ 6
~ None
}

A triangular prism’s net has 3 rectangles. If one rectangular face is missing, how many total faces will the folded shape have?
{
~ 3
= 4
~ 5
~ 6
}

//Fill in the blanks (8)

A triangular prism has ___ faces.
{
~ 3
~ 4
= 5
~ 6
}

A triangular prism’s net contains 3 ___ faces and 2 ___ faces.
{
~ Circular, triangular
= Rectangular, triangular
~ Triangular, circular
~ Rectangular, square
}

The net of an open cone is a shape that opens into a ___.
{
= Flat surface (specifically a sector of a circle)
~ Rectangle
~ Triangle
~ Square
}

If a net overlaps while folding, the shape formed will be ___.
{
~ Larger
= Incorrect
~ Perfect
~ Smaller
}

A net of a cube must have ___ square faces.
{
~ 5
= 6
~ 4
~ 7
}

A correct net for a cuboid must have ___ rectangular faces.
{
~ 4
= 6
~ 5
~ 7
}

A triangular prism has ___ vertices.
{
~ 4
~ 5
= 6
~ 8
}

A cone’s curved surface is created by ___.
{
~ Opening a flat, circular base
~ A straight line folded into a circle
= Rolling a curved surface into a cone shape
~ Placing triangles together
}

//Match the Following(1)

Match the following items from Column A with their correct corresponding options from Column B:
{
=A triangular prism has -> 5 faces
=A net of a triangular prism has -> 3 rectangles and 2 triangles
=A cone has -> A curved surface
=A net of a cube must have -> 6 square faces
=A cuboid’s net -> Cannot always form a cuboid
=Overlapping surfaces in a net -> Incorrect shapes
=A triangular prism has how many edges -> 9 edges
=An open cone’s net will look like -> A flat surface
=A cuboid and a cube both have -> 6 faces
=A net with six rectangular faces -> Needs specific arrangement
}

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