A vertex is a corner of a 3D shape.

An edge joins one vertex to another.

A face is an individual surface of a 3D shape.

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.

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.

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 .

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 .

IGCSEMaths A: HigherEdexcelFlashcards

Volume & Surface Area (Edexcel IGCSE Maths A)

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FrontProperties of 3D Shapes
Define vertex.

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Cards in this collection (31)

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 $V = l \times w \times h$
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
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 $A = 2 π r^{2} + 2 π r h$
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
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.
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 $A = π r^{2} + π r l$
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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