a.
To find: the lateral surface area of the given pattern.
a.
Answer to Problem 19PSB
Explanation of Solution
Given:
The pattern shown can be folded to form a prism with a rectangular hexagon base.
Calculation:
According to the question, the form of the pattern is a prism with a rectangular hexagon base.
Thus, the lateral surface area of the given prism is
Hence, the lateral surface area of the given pattern is
b.
To find: the total surface area of the given pattern.
b.
Answer to Problem 19PSB
Explanation of Solution
Given:
The pattern shown can be folded to form a prism with a rectangular hexagon base.
Calculation:
According to the question, the form of the pattern is a prism with a rectangular hexagon base.
Thus, the total surface area of the given prism is sum of the lateral surface area and the area of the hexagonal base.
Now, area of the hexagonal base is
Thus, the total surface area of the given prism is
Hence, the total surface area of the given pattern is
c.
To find: the volume of the given pattern.
c.
Answer to Problem 19PSB
Explanation of Solution
Given:
The pattern shown can be folded to form a prism with a rectangular hexagon base.
Calculation:
According to the question, the form of the pattern is a prism with a rectangular hexagon base.
Thus, the volume of the given prism is
Hence, the volume of the given pattern is
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