What is a vertex on a 3D shape?

A vertex is a corner of a 3D shape. E.g. a square-based pyramid has 5 vertices.

What is a face on a 3D shape?

A face is an individual flat surface of a 3D shape. E.g. a cylinder has 2 circular faces (the two 'ends'), along with one curved surface.

A prism is a 3D shape with the same cross-section throughout. E.g. a cuboid is a rectangular prism.

True or False? A cuboid has six equal , square faces.

False. A cuboid has six rectangular faces . They consist of three pairs of equal rectangular faces. A cube has six equal , square faces.

What does a net of a 3D shape represent?

A net of a 3D shape is a 2D pattern that could be folded to make that 3D shape .

How many edges are there on a square-based pyramid ?

There are eight edges on a square-based pyramid .

True or False? The base of a tetrahedron is a square .

False. The base of a tetrahedron is a triangle .

What shape is the cross-section of a cylinder ?

The cross-section of a cylinder is a circle .

True or False? A triangular prism has two equal triangular faces and three rectangular faces .

True. A triangular prism has two equal triangular faces and three rectangular faces .

True or False? A cube is a type of prism .

True. A cube is a type of prism with a square cross-section .

How can the volume of a hemisphere be found?

The volume of a hemisphere can be found by halving the volume of the complete sphere .

How can the volume of a frustum be found?

The volume of a frustum is the volume of the larger cone minus the volume of the smaller cone that has been 'cut off'.

True or False? The surface area of a hemisphere comprises the surface area of a sphere and the area of a circle of the same radius .

False. The surface area of a hemisphere comprises half the surface area of a sphere, and the area of a circle of the same radius .

True or False? The surface area of a cuboid consists of three pairs of equal rectangles .

True. The surface area of a cuboid consists of three pairs of equal rectangles .

True or False? The net of a cylinder consists of two circles and a rectangle .

True. The net of a cylinder consists of two circles and a rectangle .

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What is a vertex on a 3D shape?
A vertex is a corner of a 3D shape.
E.g. a square-based pyramid has 5 vertices.
What is a face on a 3D shape?
A face is an individual flat surface of a 3D shape.
E.g. a cylinder has 2 circular faces (the two 'ends'), along with one curved surface.
What is a prism?
A prism is a 3D shape with the same cross-section throughout.
E.g. a cuboid is a rectangular prism.
True or False?
A cuboid has six equal, square faces.
False.
A cuboid has six rectangular faces.
They consist of three pairs of equal rectangular faces.
A cube has six equal, square faces.
What does a net of a 3D shape represent?
A net of a 3D shape is a 2D pattern that could be folded to make that 3D shape.
How many edges are there on a square-based pyramid?
There are eight edges on a square-based pyramid.
True or False?
The base of a tetrahedron is a square.
False.
The base of a tetrahedron is a triangle.
What shape is the cross-section of a cylinder?
The cross-section of a cylinder is a circle.
True or False?
A triangular prism has two equal triangular faces and three rectangular faces.
True.
A triangular prism has two equal triangular faces and three rectangular faces.
True or False?
A cube is a type of prism.
True.
A cube is a type of prism with a square cross-section.
What is the formula for the volume of a cuboid?
The formula for the volume of a cuboid is $V = l \times w \times h$
Where:
- $V =$ volume
- $l =$ length
- $w =$ width
- $h =$ height
What is the formula for the volume of a cylinder?
The formula for the volume of a cylinder is $V = π r^{2} h$
Where:
- $V =$ volume
- $r =$ radius
- $h =$ height
What is the formula for the volume of a cone?
The formula for the volume of a cone is $V = \frac{1}{3} π r^{2} h$
Where:
- $V =$ volume
- $r =$ radius
- $h =$ perpendicular height
What is the formula for the volume of a sphere?
The formula for the volume of a sphere is $V = \frac{4}{3} π r^{3}$
Where:
- $V =$ volume
- $r =$ radius
What is the formula for the volume of a prism?
The formula for the volume of a prism is $V = A l$
Where:
- $V =$ volume
- $A =$ cross-sectional area
- $l =$ length
What is a frustum?
A frustum is a truncated (chopped-off) cone.
E.g.
How can the volume of a hemisphere be found?
The volume of a hemisphere can be found by halving the volume of the complete sphere.
How can the volume of a frustum be found?
The volume of a frustum is the volume of the larger cone minus the volume of the smaller cone that has been 'cut off'.
What is the formula for the surface area of a cylinder?
The formula for the surface area of a cylinder is $A = 2 π r^{2} + 2 π r h$
Where:
- $A =$ surface area
- $r =$ radius
- $h =$ height
True or False?
The formula for the curved surface area of a cone is $A = π r l + π r^{2}$
Where:
- $A =$ surface area
- $r =$ radius
- $l =$ slant height
False.
$A = π r l + π r^{2}$ is the total surface area of a cone.
The formula for the curved surface area of a cone is $A = π r l$
Where:
- $A =$ surface area
- $r =$ radius
- $l =$ slant height
( $π r^{2}$ is the area of the circular base of the cone.)
What is the formula for the surface area of a sphere?
The formula for the surface area of a sphere is $A = 4 π r^{2}$
Where:
- $A =$ surface area
- $r =$ radius
True or False?
The surface area of a hemisphere comprises the surface area of a sphere and the area of a circle of the same radius.
False.
The surface area of a hemisphere comprises half the surface area of a sphere, and the area of a circle of the same radius.
True or False?
The surface area of a cuboid consists of three pairs of equal rectangles.
True.
The surface area of a cuboid consists of three pairs of equal rectangles.
What is the formula for the total surface area of a cone?
The formula for the total surface area of a cone is $A = π r^{2} + π r l$
Where:
- $A =$ surface area
- $r =$ radius
- $l =$ slant height
True or False?
The net of a cylinder consists of two circles and a rectangle.
True.
The net of a cylinder consists of two circles and a rectangle.

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