(a)
To graph: To sketch a net for the giventriangular prism
(a)
Explanation of Solution
Given Information:
A mailer for posters is a triangular prism. The base is an equilateral triangle with sides that measures 6 inches as shown below:
Concept used:
Nets of 3D shapes:
A net of a 3D shape is what it looks like if it is opened out flat. A net can be folded up to make a 3D shape.
Graph:
A net for the given triangular prism can be drawn as shown below:
Interpretation:
The net of the triangular prism consists of two
For a triangular prism:
Number of faces = 5
Number of vertices = 6
Number of edges = 9
(b)
To find: The surface area of the mailer.
(b)
Answer to Problem 34PPS
The surface area of the mailer,
Explanation of Solution
Given Information:
A mailer for posters is a triangular prism. The base is an equilateral triangle with sides that measures 6 inches as shown below:
Formula used:
Surface area of triangular prism:
A triangular prism has two triangular faces and three rectangular faces. The surface area is the sum of area of two triangles and lateral surface area of all rectangles.
Calculation:
The base of given triangular prism is an equilateral triangle
∴ Total surface area of mailer = 2(area of equilateral triangle) +3 (area of rectangle) Area of equilateral triangle:
Length of each side,
Area =
Area of rectangle:
Length,
Width,
Area
Total surface area of mailer = 2(area of equilateral triangle) + 3 (area of rectangle)
∴
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