To find the surface area of a rectangular prism (in this case, a cuboid), you'll calculate the area of each pair of opposite faces and then sum those areas.
Given dimensions:
- Length (l) = 10 cm
- Width (w) = 4 cm
- Height (h) = 6 cm
-
Top and Bottom Faces: Area of top (and bottom) = width × length
= w × l
= 4 cm × 10 cm = 40 cm²
Since there are two such faces (top and bottom):
Total area (top and bottom) = 2 × 40 cm² = 80 cm² -
Front and Back Faces: Area of front (and back) = height × length
= h × l
= 6 cm × 10 cm = 60 cm²
Since there are two such faces (front and back):
Total area (front and back) = 2 × 60 cm² = 120 cm² -
Sides: Area of sides (left and right) = height × width
= h × w
= 6 cm × 4 cm = 24 cm²
Since there are two such faces (left and right):
Total area (sides) = 2 × 24 cm² = 48 cm² -
Total Surface Area (SA): Total SA = Area of top and bottom + Area of front and back + Area of sides
= 80 cm² + 120 cm² + 48 cm²
= 248 cm²
Summary
- Top and Bottom: 80 cm²
- Front and Back: 120 cm²
- Sides: 48 cm²
- Total Surface Area: 248 cm²