To find the surface area of the box, we need to calculate the area of each of the six faces and then add them together.
1. Two faces have the dimensions of the base - 2.25 in x 8 in:
Area of one face = base x height
Area of one face = 2.25 in x 8 in x 4 in = 72 in²
Since we have two faces with the same dimensions:
Total area of these two faces = 2 x 72 in² = 144 in²
2. Two faces have the dimensions of the base - 2.25 in x 4 in:
Area of one face = base x height
Area of one face = 2.25 in x 4 in x 8 in = 72 in²
Since we have two faces with the same dimensions:
Total area of these two faces = 2 x 72 in² = 144 in²
3. Two faces have the dimensions of the height - 4 in x 8 in:
Area of one face = height x base
Area of one face = 4 in x 8 in = 32 in²
Since we have two faces with the same dimensions:
Total area of these two faces = 2 x 32 in² = 64 in²
Now, we add up the total area of all six faces:
144 in² + 144 in² + 64 in² = 352 in²
Therefore, the total surface area of the box is 352 in².
base = 2.25 in x 8 in
height = 4 in
what is the surface area of the box?
1 answer