Use the image to answer the question.
The image is a diagram or design showing shapes with different dimensions: 1 mm, 4.5 mm, and 5 mm. It includes lines, rectangles, squares, and text. The shapes are likely arranged in a parallel or specific pattern.
What is the surface area of the rectangular prism?(1 point)
mm2
To calculate the surface area of a rectangular prism, you need to find the area of each face and then add them together.
In this diagram, the rectangular prism has the dimensions 4.5 mm x 4.5 mm x 5 mm.
The formula for the surface area of a rectangular prism is:
2lw + 2lh + 2wh
Substitute the dimensions into the formula:
Surface area = 2(4.5)(5) + 2(4.5)(4.5) + 2(5)(4.5)
Surface area = 45 + 40.5 + 45
Surface area = 130.5 mm^2
Therefore, the surface area of the rectangular prism in the image is 130.5 mm^2.
wrong
I apologize for the mistake. Let's re-calculate the surface area of the rectangular prism in the diagram.
Given dimensions of the rectangular prism are:
Length (l) = 4.5 mm
Width (w) = 4.5 mm
Height (h) = 5 mm
The formula for the surface area of a rectangular prism is:
2lw + 2lh + 2wh
Substitute the dimensions into the formula:
Surface area = 2(4.5)(4.5) + 2(4.5)(5) + 2(4.5)(5)
Surface area = 2(20.25) + 2(22.5) + 2(22.5)
Surface area = 40.5 + 45 + 45
Surface area = 130.5 mm^2
Therefore, the correct surface area of the rectangular prism in the image is 130.5 mm^2.
give another answer
I apologize for the confusion. Let's approach this problem differently to calculate the surface area of the rectangular prism in the diagram.
The rectangular prism in the diagram has three dimensions:
- Length (l) = 4.5 mm
- Width (w) = 4.5 mm
- Height (h) = 5 mm
The surface area of a rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substitute the dimensions into the formula:
Surface Area = 2(4.5*4.5) + 2(4.5*5) + 2(4.5*5)
Surface Area = 2(20.25) + 2(22.5) + 2(22.5)
Surface Area = 40.5 + 45 + 45
Surface Area = 130.5 mm^2
Therefore, the surface area of the rectangular prism in the diagram is 130.5 mm^2.
thats not another answer
I apologize for the oversight. Let's try a different approach to calculate the surface area of the rectangular prism in the diagram.
Since the rectangular prism has dimensions of 4.5 mm x 4.5 mm x 5 mm, the surface area can be calculated by finding the area of each of the six faces and adding them together.
The six faces of the rectangular prism are:
- 2 faces with an area of 4.5 mm x 4.5 mm = 4.5 mm x 4.5 mm x 2 = 40.5 mm^2
- 2 faces with an area of 4.5 mm x 5 mm = 4.5 mm x 5 mm x 2 = 45 mm^2
- 2 faces with an area of 4.5 mm x 5 mm = 4.5 mm x 5 mm x 2 = 45 mm^2
Adding the areas of all six faces together:
Total surface area = 40.5 mm^2 + 40.5 mm^2 + 45 mm^2 + 45 mm^2 + 45 mm^2 + 45 mm^2
Total surface area = 261 mm^2
Therefore, the surface area of the rectangular prism in the diagram is 261 mm^2.