What is the surface area of a rectangular prism that is 15 centimeters long, 13 centimeters wide, and 8 centimeters high
S = 2(lw + lh + wh)
S = 2((15x13)+(15x8)+(13x8))
S = 2(195+120+104)
S = 838 cm^2
I think it might be 1,560 is that right I multiplied 15 13 and 8 because you know LXWXH
To find the surface area of a rectangular prism, you need to calculate the sum of the areas of all its sides.
Step 1: Identify the sides of the rectangular prism.
The rectangular prism has 6 sides: front, back, top, bottom, and two side faces.
Step 2: Calculate the area of each side.
The area of a rectangular face is found by multiplying its length by its width.
Front and back faces:
Area = length × width = 15 cm × 8 cm = 120 cm²
Top and bottom faces:
Area = length × width = 15 cm × 13 cm = 195 cm²
Side faces (two of them):
Area = length × height = 15 cm × 8 cm = 120 cm²
Step 3: Add up the areas of all the sides.
Surface area = Front and back + Top and bottom + Two side faces
Surface area = (120 cm²) + (195 cm²) + (120 cm²)
Surface area = 435 cm²
Therefore, the surface area of the rectangular prism is 435 square centimeters.
To find the surface area of a rectangular prism, we need to calculate the sum of the areas of all its faces.
In this case, the rectangular prism has six faces, each with its own unique dimensions:
Face 1: The top face - Length x Width
Face 2: The bottom face - Length x Width
Face 3: The front face - Length x Height
Face 4: The back face - Length x Height
Face 5: The left face - Width x Height
Face 6: The right face - Width x Height
Now let's calculate the surface area using the given dimensions:
Face 1: The top face - Length x Width = 15 cm x 13 cm = 195 cm²
Face 2: The bottom face - Length x Width = 15 cm x 13 cm = 195 cm²
Face 3: The front face - Length x Height = 15 cm x 8 cm = 120 cm²
Face 4: The back face - Length x Height = 15 cm x 8 cm = 120 cm²
Face 5: The left face - Width x Height = 13 cm x 8 cm = 104 cm²
Face 6: The right face - Width x Height = 13 cm x 8 cm = 104 cm²
To find the surface area, we add up the areas of all six faces:
Surface Area = Face 1 + Face 2 + Face 3 + Face 4 + Face 5 + Face 6
Surface Area = 195 cm² + 195 cm² + 120 cm² + 120 cm² + 104 cm² + 104 cm²
Surface Area = 838 cm²
Therefore, the surface area of the given rectangular prism is 838 square centimeters.