Use the formula for the surface area of a right rectangular prism to find the surface area of a shape with the following measurements: length = 4.5 cm, width = 3.5 cm, and height = 2.5 cm.
1. 63 cm^2
2. 10.5 cm^2
3. 71.5 cm^2
4. 35.75 cm^2
To find the surface area of a right rectangular prism, we need to calculate the area of each of the six faces and then add them together.
The formula for the surface area of a right rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height.
Given:
length (l) = 4.5 cm
width (w) = 3.5 cm
height (h) = 2.5 cm
Substituting the values into the formula, we get:
Surface Area = 2(4.5)(3.5) + 2(4.5)(2.5) + 2(3.5)(2.5)
Surface Area = 31.5 + 22.5 + 17.5
Surface Area = 71.5 cm^2
Therefore, the surface area of the shape is 71.5 cm^2. Answer choice 3 is correct.