The area of a 2D form is the amount of space within its perimeter. The lateral area of the triangular prism is 724.28m², while the total area of the prism is 752.28m². The surface area of the cylinder will be 414 in².
What is an area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
A.) The area of the lateral faces are:
Latera area of the triangular prism = (38×7)+(38×8.06)+(38×4) = 724.28m²
The total area of the prism is:
The total area of the prism = Lateral Area + Area of the base face
= 724.28m² + 2(0.5×7×4)
= 724.28m² + 28m²
= 752.28m²
Hence, the lateral area of the triangular prism is 724.28m², while the total area of the prism is 752.28m².
B.) The surface area of the cylinder can be written as,
Surface Area = 2πrl + 2πr²
= (2×π×9×14) + (2×π×9×9)
= 252in² + 162in² = 414in²
Hence, the surface area of the cylinder will be 414 in².
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