Name the 3 ordered pairs for the vertices of the triangle graphed on a coordinate plane.
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Captionless Image
(2, 3), (5, 3), (4, -1)
(-2, -3), (-5, -3), (-4, 1)
(3, 2), (3, 5), (-1, 4)
(-3, -2), (-3, -5), (1, -4)
A rectangular prism has a length of 5 feet, a width of 3 feet and a height of 7 feet. What is the surface area of the rectangular prism? Draw a net to help you find your answer.
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142 square feet
30 square feet
105 square feet
71 square feet
Using the
formula for finding the surface area of a rectangular prism, which is 2lw + 2lh + 2wh, we can calculate the surface area with the given dimensions:
2(5)(3) + 2(5)(7) + 2(3)(7)
= 30 + 70 + 42
= 142 square feet
Therefore, the surface area of the rectangular prism is 142 square feet.
A net of the rectangular prism would show the following layout:
- Top face: 5x3
- Bottom face: 5x3
- Front face: 5x7
- Back face: 5x7
- Right side face: 3x7
- Left side face: 3x7
By adding the areas of all the faces together (2 top faces, 2 bottom faces, 2 front faces, 2 back faces, 2 right side faces, 2 left side faces), we arrive at the same total surface area of 142 square feet.