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.
a. 71.5 cm^2
b. 10.5 cm^2
c. 63 cm^2
d. 35.75 cm^2
To find the surface area of a right rectangular prism, you need to calculate the area of each face and then add them together.
Formula for the surface area of a right rectangular prism:
Surface Area = 2lw + 2lh + 2wh
where l = length, w = width, and h = height.
Given:
Length (l) = 4.5 cm
Width (w) = 3.5 cm
Height (h) = 2.5 cm
Substituting these values into the formula:
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.
The correct option is a. 71.5 cm^2.