To triple the lateral surface area of a cone, you must increase the radius while keeping the height constant. The lateral surface area ( A ) of a cone is given by the formula ( A = \pi r l ), where ( r ) is the radius and ( l ) is the slant height. Since the slant height is related to both the radius and the height, adjusting the radius proportionately will achieve the desired increase in surface area. Specifically, you need to increase the radius by a factor of ( \sqrt{3} ) while maintaining the same height.
true
If a is the side,lateral surface area of cube=4a2
surface area is lateral area
To find the lateral surface area of a pyramid, calculate the area of each triangular face and sum them up. For a regular pyramid, this can be done using the formula ( \text{Lateral Surface Area} = \frac{1}{2} \times \text{Perimeter of the base} \times \text{Slant height} ). The total surface area is then found by adding the area of the base to the lateral surface area: ( \text{Total Surface Area} = \text{Lateral Surface Area} + \text{Area of the base} ).
Lateral area excludes the areas of the top and bottom faces, which are included in the surface area.
Quadrupling the base radius will do that.
Lateral surface area of a cuboid = 2 (Length + Breadth) × Height Lateral surface area of a cube = 4 × Side2
true
If a is the side,lateral surface area of cube=4a2
the formulas for lateral area dont include the figures bases. surface area does.
surface area is lateral area
To find the lateral surface area of a pyramid, calculate the area of each triangular face and sum them up. For a regular pyramid, this can be done using the formula ( \text{Lateral Surface Area} = \frac{1}{2} \times \text{Perimeter of the base} \times \text{Slant height} ). The total surface area is then found by adding the area of the base to the lateral surface area: ( \text{Total Surface Area} = \text{Lateral Surface Area} + \text{Area of the base} ).
Lateral area excludes the areas of the top and bottom faces, which are included in the surface area.
Any area is proportional to the square of its linear dimensions. So, in order to triple the surface area of a cone, you would have to multiply its radius and height each by sqrt(3) = 1.732 (rounded). It could be done by increasing only the radius, or only the height, but then the proper factor would depend on the other dimension that isn't being changed.
The lateral surface area is 549.78mm2
The lateral surface area is 565.49cm2
Wrong, it's True. (Apex)