Use the image to answer the question.

The image is a table with three rows of measurements in meters: 1.5m, 3m, and 4m. The image may also include elements such as lines, diagrams, rectangles, and squares.

What is the surface area of the rectangular prism?(1 point)
m2

1 answer

To find the surface area of a rectangular prism, you need to calculate the area of each face and then add them up.

1. The front and back faces are both rectangles with dimensions 1.5m by 3m. The area of each face is 1.5m * 3m = 4.5m². Since there are two faces, the total area for both front and back faces is 2 * 4.5m² = 9m².

2. The top and bottom faces are also rectangles with dimensions 1.5m by 4m. The area of each face is 1.5m * 4m = 6m². Again, since there are two faces, the total area for both top and bottom faces is 2 * 6m² = 12m².

3. The left and right faces are rectangles with dimensions 3m by 4m. The area of each face is 3m * 4m = 12m². There are two faces, so the total area for both left and right faces is 2 * 12m² = 24m².

Now, add up the areas of all six faces to find the total surface area:
9m² (front and back) + 12m² (top and bottom) + 24m² (left and right) = 45m²

The surface area of the rectangular prism is 45m².
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