A rectangular prism is 4.8 centimeters long, 16 centimeters wide, and 14 centimeters high. What is the surface area of the rectangular prism?
there are 3 pairs of rectangular faces. The area of a rectangle is length * width.
So, add 'em up.
To find the surface area of a rectangular prism, we need to find the area of each of the six faces and then add them up.
Step 1: Find the area of the top and bottom faces, which are both rectangles.
The area of a rectangle is given by the formula: Length x Width.
So, the area of the top and bottom faces is: 4.8 cm x 16 cm = 76.8 cm².
Step 2: Find the area of the front and back faces, which are also rectangles.
Again, the area of a rectangle is given by the formula: Length x Width.
So, the area of the front and back faces is: 4.8 cm x 14 cm = 67.2 cm².
Step 3: Find the area of the left and right faces, which are yet again rectangles.
The formula for the area of a rectangle is: Length x Width.
Thus, the area of the left and right faces is: 16 cm x 14 cm = 224 cm².
Step 4: Add up all the areas of the six faces to find the total surface area.
76.8 cm² + 76.8 cm² + 67.2 cm² + 67.2 cm² + 224 cm² + 224 cm² = 736.8 cm².
Therefore, the surface area of the rectangular prism is 736.8 cm².
To find the surface area of a rectangular prism, you need to calculate the areas of each of its six faces and then add them together.
The rectangular prism has three pairs of congruent faces: the top and bottom faces, the front and back faces, and the left and right faces. Each of these pairs has the same area.
The area of each top and bottom face is equal to the length multiplied by the width, so for this rectangular prism, the area of each top and bottom face is 4.8 cm * 16 cm = 76.8 cm^2.
The area of each front and back face is equal to the length multiplied by the height, so for this rectangular prism, the area of each front and back face is 4.8 cm * 14 cm = 67.2 cm^2.
The area of each left and right face is equal to the height multiplied by the width, so for this rectangular prism, the area of each left and right face is 14 cm * 16 cm = 224 cm^2.
Now, to find the surface area, add up the areas of all six faces:
2 * (area of top and bottom face) + 2 * (area of front and back face) + 2 * (area of left and right face)
= 2 * 76.8 cm^2 + 2 * 67.2 cm^2 + 2 * 224 cm^2
= 153.6 cm^2 + 134.4 cm^2 + 448 cm^2
= 736 cm^2
Therefore, the surface area of the rectangular prism is 736 square centimeters.