a rectangular prism and its dimensions in centimeters are shown in the diagram.
what is the total surface area of the rectangular prism square centimeters?
a 144 cm^2
b 216 cm^2
c 108 cm^2
d 252 cm^2
To find the total surface area of a rectangular prism, we need to calculate the areas of all six faces and then add them up.
The rectangular prism in the diagram has the following dimensions:
- Length: 6 cm
- Width: 3 cm
- Height: 5 cm
The six faces of the rectangular prism are:
1. Top and bottom faces: 6 cm * 3 cm = 18 cm^2 (each)
2. Front and back faces: 6 cm * 5 cm = 30 cm^2 (each)
3. Side faces: 3 cm * 5 cm = 15 cm^2 (each)
Adding up the areas of all six faces:
2(18 cm^2) + 2(30 cm^2) + 2(15 cm^2) = 36 cm^2 + 60 cm^2 + 30 cm^2 = 126 cm^2
Therefore, the total surface area of the rectangular prism is 126 cm^2.
The closest option to 126 cm^2 is:
c) 108 cm^2
Therefore, the correct answer is c) 108 cm^2.