To find: the lateral and total surface area.
The lateral area is
Total surface area is
Given:
Height =
Formulas used:
The lateral area
The surface area
Calculation:
Consider an equilateral triangular prism whose base height is
The objective is to find the lateral and surface area of the triangular prism.
First convert the mixed number into decimal number.
The lateral area
Here,
The surface area
Here,
The base of the prism is a triangle whose sides are
Find the lateral area of the triangular prism as follows:
The perimeter
Therefore,
Substitute
Hence, the lateral area of the triangular prism is
Find the surface area of the triangle prism as follows:
The area
Here,
Substitute
Therefore,
Substitute
Hence, the surface area of the triangular prism is
Chapter 12 Solutions
Pre-Algebra Student Edition
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