The surface area of the given figure is 84 square centimeters.
The surface area of the prism consists of 2 triangles, 3 rectangles.
Triangle 1 (ABC)
Area of the triangle = ½ × base × height
= ½ × 4 × 3
= 6 square centimeters.
Triangle 2 (DEF):
Area of the triangle = ½ × base × height
= ½ × 4 × 3
= 6 square centimeters.
Rectangle 1
Area of the rectangle (ACDE) = Length × width
= 5 × 6
= 30 square centimeters.
Rectangle 2:
Area of the rectangle (ABEF) = Length × width
= 4 × 6
= 24 square centimeters.
Rectangle 3:
Area of the rectangle (BCDF) = Length × width
= 3 × 6
= 18 square centimeters.
Therefore,
Total surface area of the figure = 6 + 6 + 30 + 24 + 18)
= 84 square centimeters
Question
4 cm
3 cm
6 cm
5 cm
What is the surface area of the figure in square centimeters?