Answer :
To work out the total surface area of a cuboid with dimensions 15 cm, 20 cm, and 40 cm, you can follow these steps:
Understand the Formula: The total surface area of a cuboid is given by the formula:
[2(lw + lh + wh)
]
where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex] are the length, width, and height of the cuboid.Substitute the Dimensions:
- Here, [tex]l = 15[/tex] cm, [tex]w = 20[/tex] cm, [tex]h = 40[/tex] cm.
Calculate Each Term:
- [tex]lw = 15 \times 20 = 300[/tex] square cm.
- [tex]lh = 15 \times 40 = 600[/tex] square cm.
- [tex]wh = 20 \times 40 = 800[/tex] square cm.
Add the Areas from Each Pair of Faces:
- Multiply by 2 for each pair of opposite faces to get the total surface area:
[tex]2(300 + 600 + 800) = 2 \times 1700 = 3400 \text{ square cm}[/tex]
- Multiply by 2 for each pair of opposite faces to get the total surface area:
So, the total surface area of the cuboid is [tex]3400[/tex] square centimeters.