Define vertex.
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Define vertex.
A vertex is a corner of a 3D shape.
Define edge.
An edge joins one vertex to another.
Define face.
A face is an individual surface of a 3D shape.
What is a prism?
A prism is a 3D shape with the same cross-section throughout.
True or False?
A cube has six equal, square faces.
True.
A cube has six equal, square faces.
What does a net represent?
A net is a 2D pattern that could be folded to make a 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 an equilateral triangle.
How many faces does a sphere have?
A sphere is a 3D shape with one curved face.
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.
Define the term volume.
Volume is a measure of how much space a 3D object takes up.
What is the formula for the volume of a cuboid?
The formula for the volume of a cuboid is
Where:
volume
length
width
height
What is the formula for the volume of a cylinder?
The formula for the volume of a cylinder is
Where:
volume
radius
height
What is the formula for the volume of a cone?
The formula for the volume of a cone is
Where:
volume
radius
perpendicular height
What is the formula for the volume of a sphere?
The formula for the volume of a sphere is
Where:
volume
radius
True or False?
To find the volume of a prism, you multiply the area of the cross-section by the length.
True.
To find the volume of a prism, you multiply the area of the cross-section by the length.
Define the term cross-sectional area.
Cross-sectional area is the area of the cross-section that is found when a 3D object is cut across its length.
Define the term frustum.
A frustum is a truncated (chopped-off) cone or pyramid.
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/pyramid minus the volume of the smaller cone/pyramid.
Define the term surface area.
Surface area is the sum of the areas of all the faces that make up a 3D shape.
What is the formula for the surface area of a cylinder?
The formula for the surface area of a cylinder is
Where:
surface area
radius
height
True or False?
The formula for the curved surface area of a cone is
Where:
surface area
radius
slant height
False.
is the total surface area of a cone.
The formula for the curved surface area of a cone is
Where:
surface area
radius
slant height
What is the formula for the surface area of a sphere?
The formula for the surface area of a sphere is
Where:
surface area
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.
Define the term slant height.
Slant height is the length of the sloping side of a cone or pyramid.
What is the formula for the total surface area of a cone?
The formula for the total surface area of a cone is
Where:
surface area
radius
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.