Question

The surface area of a right rectangular prism can be found by finding the sum of the area of each of the faces of the prism. What is the surface area of a right rectangular prism with length 4 centimeters (cm), width 9 cm, and height 3 cm? (area of a rectangle is equal to length times width)

a. 75 cm^2
b. 108 cm^2
c. 120 cm^2
d. 150 cm^2

Answer 1

The surface area of a right rectangular prism with given dimensions can be calculated by finding the sum of the area of each face of the prism. In this case, the surface area of the prism with length 4 cm, width 9 cm, and height 3 cm is 126 cm².

Step-by-step explanation:

The surface area of a right rectangular prism is found by finding the sum of the area of each of the faces of the prism. To calculate the surface area, we need to find the area of each face and then add them together. The formula for the area of a rectangle is length times width.

Given the dimensions of the prism: length = 4 cm, width = 9 cm, and height = 3 cm, we can calculate the surface area as follows:

1. Area of the top and bottom faces = length times width = 4 cm times 9 cm = 36 cm² each
2. Area of the side faces = width times height plus width times height = 9 cm times 3 cm plus 9 cm times 3 cm = 27 cm² each
3. Surface area = 2 times (area of top and bottom faces) plus 2 times (area of side faces) = 2 times 36 cm² plus 2 times 27 cm² = 72 cm² plus 54 cm² = 126 cm²

Therefore, the surface area of the right rectangular prism is 126 cm².