About Lateral Area Formula
- Any solid object's lateral area can be calculated using the lateral area formula.
- Any figure's lateral area is merely the area of the non-base faces.
- The lateral surface area of various forms such as the cuboid, cube, cylinder, cone, and sphere can be calculated using lateral area formulas.
Let's look at some additional lateral area formulas and answer a few problems.
What Is the Lateral Area Formula?
Distinct sorts of objects have different lateral area formulas. As a result, there exist numerous lateral area formulas, which are described below. The object's base area and the face parallel to the base are not included in the lateral area. The following table lists the lateral area formulas for numerous objects:
List of Lateral Area Formula
For 3-dimensional shapes, we calculate the lateral surface area. A full tabular list is provided below to help you comprehend the lateral surface area formula.
Download free pdf of Lateral Area Formula Its Use And Solved Examples
Frequently Asked Questions
The lateral area of a solid refers to the surface area of all sides of the object excluding the base(s) and top. It represents the area of the sides that are vertical or slanted, depending on the shape of the object.
The lateral area of a prism is calculated by multiplying the perimeter of the base by the height of the prism.
Formula:
Lateral Area = Perimeter of base × Height
This formula applies to both rectangular and triangular prisms, with the perimeter of the base depending on the shape of the base.
The lateral area of a cylinder is given by the formula:
Lateral Area = 2πrh
where:
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r is the radius of the base,
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h is the height of the cylinder,
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π is a constant (approximately 3.14159).
The lateral area of a cone is calculated using the formula:
Lateral Area = πrl
where:
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r is the radius of the base,
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l is the slant height of the cone,
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π is a constant (approximately 3.14159).
The lateral area of a pyramid is found by multiplying the perimeter of the base by the slant height, and then dividing by 2.
Formula:
Lateral Area = (Perimeter of base × Slant height) / 2
This applies to any pyramid, whether the base is a square, triangle, or another polygon.
No, the lateral area is not the same as the surface area. The lateral area only includes the area of the sides (lateral faces) of the solid, excluding the base(s) and top. The surface area, on the other hand, includes the lateral area plus the area of the base(s) and top of the solid.
To calculate the lateral area of a rectangular prism, use the formula:
Lateral Area = 2h(l + w)
where:
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h is the height of the prism,
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l is the length of the base,
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w is the width of the base.
The lateral area formula is used in real-life applications like calculating the material needed to construct a cylindrical can, determining the surface area for painting the sides of a building, or finding the amount of fabric required to cover the slanted sides of a pyramid-shaped roof.