What is the total surface area of the inside and outside of a container in the shape of a rectangular prism with length of 5 meters, width of 3 meters, and height of 2.2 meters?
To find the total surface area of the inside and outside of the container, we need to calculate the surface area of each face of the rectangular prism and then sum them up.
A rectangular prism has six faces: top, bottom, front, back, left, and right. The top and bottom faces have the same dimensions (length x width), while the front, back, left, and right faces have the dimensions (height x width) or (height x length).
To calculate the surface area of each face, we use the formula:
Surface Area = Length x Width
For the top and bottom faces:
Surface Area = (5 m) x (3 m) = 15 m²
For the front and back faces:
Surface Area = (2.2 m) x (3 m) = 6.6 m²
For the left and right faces:
Surface Area = (2.2 m) x (5 m) = 11 m²
Now, to find the total surface area, we add up the areas of all six faces:
Total Surface Area = 2(top + bottom) + 2(front + back) + 2(left + right)
= 2(15 m²) + 2(6.6 m²) + 2(11 m²)
= 30 m² + 13.2 m² + 22m²
= 65.2 m²
Therefore, the total surface area of the inside and outside of the container is 65.2 square meters.
To calculate the total surface area of the inside and outside of the container, we need to calculate the surface area of each of the six sides and then add them up.
The formula for calculating the surface area of a rectangular prism is:
Surface area = 2lw + 2lh + 2wh
Where:
l = length
w = width
h = height
Let's substitute the values into the formula:
Surface area = 2(5)(3) + 2(5)(2.2) + 2(3)(2.2)
Simplifying, we get:
Surface area = 30 + 22 + 13.2
Adding up the values:
Surface area = 65.2 square meters
Therefore, the total surface area of the inside and outside of the container is 65.2 square meters.
"rectangular prism" , fancy word for plain ol' box
Outside surface area
= 2(5x3) + 2(5x2.2) + 2(3x2.2)
= 68.2
Unless we know the thickness of the material used, we might just want to assume that the inside surface area is the same ??