1. Find the surface area of a rectangular prism with dimensions 5 cm by 3 cm by 4 cm.
To find the surface area, we need to calculate the area of each side of the prism and then add them together.
- Top and bottom faces: 5 cm * 3 cm = 15 cm^2 (x2 for both faces)
- Front and back faces: 5 cm * 4 cm = 20 cm^2 (x2 for both faces)
- Side faces: 3 cm * 4 cm = 12 cm^2 (x2 for both faces)
Total surface area = 2(15) + 2(20) + 2(12) = 30 + 40 + 24 = 94 cm^2
Therefore, the surface area of the rectangular prism is 94 cm^2.
2. A rectangular prism has dimensions 8 in by 6 in by 10 in. Find its surface area.
Following the same steps as above:
- Top and bottom faces: 8 in * 6 in = 48 in^2 (x2 for both faces)
- Front and back faces: 8 in * 10 in = 80 in^2 (x2 for both faces)
- Side faces: 6 in * 10 in = 60 in^2 (x2 for both faces)
Total surface area = 2(48) + 2(80) + 2(60) = 96 + 160 + 120 = 376 in^2
Therefore, the surface area of the rectangular prism is 376 in^2.
Surface Area of Rectangle Prisms Practice
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