What is the surface area of the prism, in square centimeters?
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Answer:
182
Step-by-step explanation:
2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )
= {182cm}^{2}
The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².
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.
The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,
Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)
Now, the Area of a rectangular face is,
Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)
= 160 cm²
The area of the triangle base,
Area = 0.5 × 4cm × 6cm = 12 cm²
Further, the total area of the Prism will be,
Total surface area = 160cm² + 2(12cm²) = 184cm²
Hence, the total surface area of the prism is 184 cm².
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