Find the surface area of a rectangular prism with the following dimensions: Length= 8 cm, Width= 5 cm, and Height= 6 cm
A. 148 cm²
B. 212 cm²
C. 154 cm²****
D. 216 cm²
To find the surface area of a rectangular prism, you need to calculate the area of each side and then add them together.
The formula to calculate the surface area of a rectangular prism is:
Surface Area = 2 * (Length * Width + Width * Height + Height * Length)
Given the dimensions:
Length = 8 cm
Width = 5 cm
Height = 6 cm
Now, let's substitute these values into the formula:
Surface Area = 2 * (8 * 5 + 5 * 6 + 6 * 8)
= 2 * (40 + 30 + 48)
= 2 * (118)
= 236
Therefore, the surface area of the rectangular prism is 236 cm².
Since none of the provided answer choices matches, it seems there might be an error in the available options.
To find the surface area of a rectangular prism, you need to calculate the area of each face and then sum them up.
A rectangular prism has six faces: the top and bottom faces are rectangles with dimensions length × width, the front and back faces are rectangles with dimensions length × height, and the left and right side faces are rectangles with dimensions width × height.
For the given dimensions:
Length = 8 cm
Width = 5 cm
Height = 6 cm
Now, let's calculate the area of each face:
1. Top and bottom faces: length × width
Area = 8 cm × 5 cm = 40 cm² (2 faces)
2. Front and back faces: length × height
Area = 8 cm × 6 cm = 48 cm² (2 faces)
3. Left and right side faces: width × height
Area = 5 cm × 6 cm = 30 cm² (2 faces)
Finally, sum up all the areas of the faces:
Total surface area = 40 cm² + 40 cm² + 48 cm² + 48 cm² + 30 cm² + 30 cm²
Total surface area = 236 cm²
Therefore, the correct answer is D. 236 cm²