Height 4 cm
8 cm
Length
5 cm
Width
What is the surface area of the figure above?
(1 point)
Responses
52 centimeters squared
52 centimeters squared
192 centimeters squared
192 centimeters squared
160 centimeters squared
160 centimeters squared
184 centimeters squared
184 centimeters squared
184 centimeters squared
could you show me the steps pls
Sure! To calculate the surface area of the figure, we need to find the area of each individual face and then add them all together.
The figure is a rectangular prism, meaning it has 6 faces - 2 identical length and width faces, 2 identical width and height faces, and 2 identical length and height faces.
1. The area of the front and back faces (length x height): 5 cm x 4 cm = 20 cm^2 each
2. The area of the top and bottom faces (length x width): 5 cm x 8 cm = 40 cm^2 each
3. The area of the two side faces (width x height): 8 cm x 4 cm = 32 cm^2 each
To find the total surface area, add up the areas of all 6 faces:
2(20 cm^2) + 2(40 cm^2) + 2(32 cm^2) = 40 cm^2 + 80 cm^2 + 64 cm^2 = 184 cm^2
So, the surface area of the figure is 184 cm^2.