Question Use the image to answer the question. What is the total surface area of the figure? (1 point) Responses 444%C2%A0cm2%C2%A0 444 cm squared %C2%A0 552%C2%A0cm2 %C2%A0 552 cm squared 480%C2%A0cm2 480 cm squared 408%C2%A0cm2 408 cm squared Skip to navigation
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To find the total surface area of the figure, you need to calculate the areas of all the surfaces that make up the figure and then add them together.
In the image provided, the figure consists of a rectangle and two triangles.
First, calculate the area of the rectangle:
Length = 20 cm
Width = 12 cm
Area of rectangle = Length x Width = 20 cm x 12 cm = 240 cm²
Next, calculate the area of the two triangles:
The base of the triangle is 10 cm and the height is 12 cm for both triangles.
Area of one triangle = (1/2) x base x height = (1/2) x 10 cm x 12 cm = 60 cm²
Area of both triangles = 60 cm² + 60 cm² = 120 cm²
Now, add the area of the rectangle and the two triangles together to find the total surface area:
Total surface area = Area of rectangle + Area of both triangles
Total surface area = 240 cm² + 120 cm² = 360 cm²
Therefore, the total surface area of the figure is 360 cm².
None of the options provided match the calculated total surface area of 360 cm².