What is the surface area of the figure above? Georgia Milestones Grade 7 Mathematics Formula Sheet (1 point) Responses 52 centimeters squared 52 centimeters squared 192 centimeters squared 192 centimeters squared 160 centimeters squared 160 centimeters squared 184 centimeters squared
The provided details(4cm, 8cm, 5cm.)
To find the surface area of the figure, we need to calculate the surface area of all the individual faces and then add them together.
The figure appears to be a rectangular prism with dimensions:
- Length = 8 cm
- Width = 5 cm
- Height = 4 cm
First, we calculate the surface area of each face:
1. Area of the top and bottom faces = Length x Width = 8 cm x 5 cm = 40 cm^2 each
2. Area of the front and back faces = Length x Height = 8 cm x 4 cm = 32 cm^2 each
3. Area of the left and right faces = Width x Height = 5 cm x 4 cm = 20 cm^2 each
Next, we add up the surface areas of all the faces:
Total surface area = 2(40 cm^2) + 2(32 cm^2) + 2(20 cm^2) = 80 cm^2 + 64 cm^2 + 40 cm^2 = 184 cm^2
Therefore, the surface area of the figure is 184 centimeters squared. The correct answer choice is 184 centimeters squared.