marlon brought toblerone chocolate which box is in triangular prism formed. The box bases are equilateral triangles with measurement of 1.5 inches and the height of the box is 12 inches. Find its surface area.
Answers
Given : Marlon brought toblerone chocolate which box is in triangular prism formed.
The box bases are equilateral triangles with measurement of 1.5 inches and the height of the box is 12 inches.
To Find : its surface area.
Solution:
surface area = 3 rectangular faces with dimensions 1.5 and 12 inch
and two triangle surfaces with side 1.5 inch equilateral triangle
Area of one rectangular face = 1.5 * 12 = 18 sq inches
=> area of 3 rectangular faces = 3 * 18 = 54 sq inches
Area of one triangle = (√3 / 4 ) ( 1.5)² = 0.974 sq inches
=> Area of 2 triangles = 2 * 0.974 = 1.948 sq inches
Total surface area. = 54 + 1.948
= 55.948
= 55.95 sq inches
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