What is the surface area of the rectangular prism that has the side lengths of 3mm 5mm and 4mm
60mm
104mm
94mm
64mm
The surface area of a rectangular prism is given by the formula: 2(Length × Width + Width × Height + Height × Length).
Substituting the given values, we get:
Surface Area = 2(3×5 + 5×4 + 4×3) = 2(15 + 20 + 12) = 2(47) = 94mm²
Therefore, the surface area of the rectangular prism with side lengths of 3mm, 5mm, and 4mm is 94mm².
The answer is option C) 94mm.
To find the surface area of a rectangular prism, we need to add up the areas of all the six faces.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Where:
- l is the length of the prism
- w is the width of the prism
- h is the height of the prism
Given the side lengths of the rectangular prism as 3mm, 5mm, and 4mm, we can plug these values into the formula:
Surface Area = 2(3*5) + 2(3*4) + 2(5*4)
Simplifying further:
Surface Area = 2(15) + 2(12) + 2(20)
Surface Area = 30 + 24 + 40
Surface Area = 94 mm^2.
Therefore, the surface area of the rectangular prism is 94mm^2.
To find the surface area of a rectangular prism, you need to calculate the area of each of its faces and then add them up.
A rectangular prism has 6 faces: a top face, a bottom face, a front face, a back face, a left face, and a right face.
To calculate the area of each face, you need to multiply the length of the prism by its width.
Given the side lengths of the rectangular prism are 3mm, 5mm, and 4mm, the area of the top and bottom faces can be found by multiplying 3mm by 5mm:
Area of top and bottom faces = 3mm * 5mm = 15mm^2
The area of the front and back faces can be found by multiplying 3mm by 4mm:
Area of front and back faces = 3mm * 4mm = 12mm^2
The area of the left and right faces can be found by multiplying 5mm by 4mm:
Area of left and right faces = 5mm * 4mm = 20mm^2
Now, add up the areas of all six faces to find the total surface area:
Total surface area = (Area of top and bottom faces) + (Area of front and back faces) + (Area of left and right faces)
Total surface area = 15mm^2 + 12mm^2 + 20mm^2
Calculating the above expression gives us:
Total surface area = 47mm^2.
Therefore, the correct answer is that the surface area of the rectangular prism with side lengths of 3mm, 5mm, and 4mm is 47mm^2. None of the given options matches this result, so none of the provided answers is correct.