What is the surface area of a rectangular prism measuring 3 1/2 ft.by 2 3/8 ft. by 8 feet ?
I'll be glad to check your answer.
http://www.math.com/tables/geometry/surfareas.htm
Thank you so much!
To find the surface area of a rectangular prism, we need to calculate the area of each of its six faces and then sum them up.
The rectangular prism given has three dimensions:
Length = 3 1/2 ft = 3.5 ft
Width = 2 3/8 ft = 2.375 ft
Height = 8 ft
To calculate the surface area, we need to find the area of each face.
1. Face 1 (Top and bottom): The area of the top and bottom faces is the same since they are congruent.
Area = Length × Width
Area1 = 3.5 ft × 2.375 ft
2. Face 2 (Front and back): The area of the front and back faces is also the same.
Area2 = Length × Height
Area2 = 3.5 ft × 8 ft
3. Face 3 (Sides): The area of the two side faces is also the same.
Area3 = Width × Height
Area3 = 2.375 ft × 8 ft
Now, we can calculate the area of each face and sum them up to find the total surface area.
Total Surface Area = 2 × (Area1 + Area2 + Area3)
Once the numerical values are substituted into the equation, the calculation can be done to find the final answer.