Surface area of prisms
Watch this video to learn about the surface area of a prism
Cuboid
From the cuboid above, you can see that it has:
- 6 faces
- 12 edges
- 8 vertices
Surface area of a cuboid
From the diagram above, you should see that:
- front and back are Congruent means two shapes are exactly the same shape and exactly the same size. (the same size and shape)
- top and bottom are congruent
- right and left are congruent
When calculating the The total area of all sides on a 3D shape., you should refer to the shape's A net of a solid shape is a flat shape which can be cut out and folded to make the solid shape.. This is what the solid shape would look like flattened out.
Question
Calculate the surface area of the cuboid shown below.
The net of this cuboid is shown below:
Area of top \(= l \times b\)
\(= 20 \times 7\)
\(= 140c{m^2}\)
Area of bottom \(= 140c{m^2}\)
Area of front \(= l \times b\)
\(= 20 \times 15\)
\(= 300c{m^2}\)
Area of back \(= 300c{m^2}\)
Area of left \(= l \times b\)
\(= 15 \times 7\)
\(= 105c{m^2}\)
Area of right \(= 105c{m^2}\)
Total surface area \(= 140 + 140 + 300 + 300 + 105 + 105 = 1090c{m^2}\)
Question
Calculate the surface area of the A block of glass or other transparent material that disperses light to form a spectrum. shown below.
The net of this cylinder is shown below.
Area of top \(= \pi {r^2}\)
\(= 3.14 \times {14^2}\)
\(= 615.44c{m^2}\)
Area of bottom \(= 615.44c{m^2}\)
Area of rectangle \(= l \times b\)
\(= 87.92 \times 36\)
\(= 3165.12c{m^2}\)
Total surface area \(= 615.44 + 615.44 + 3165.12 = 4396c{m^2}\)
