# What is the surface area of the solid figure?

Space and AstronomyThe total surface area of a solid is **the sum of the areas of all of the faces or surfaces that enclose the solid**. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.

## How do you find the surface area of a solid figure?

To determine the surface area of a solid, we **take the sum of the area of all the surfaces of a 3-dimensional solid object**.

## What is the surface of a solid figure?

face

The flat surface of a solid figure is called **a face**

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## What is the surface area of the solid model?

To recall, the surface area of an object is **the total area of the outside surfaces of the three-dimensional object** i.e, the total sum of the area of the faces of the object.

Surface Area Formulas:

Shape | Lateral Surface Area (LSA) | Total Surface Area (TSA) |
---|---|---|

Solid Sphere | 4πr^{2} |
4πr^{2} |

Hemisphere | ½ × 4 × πr^{2} |
3πr^{2} |

## What is surface area and total surface area?

The surface area is the area of one face of a solid exposed in a three-dimensional plane. The total surface area is the sum of the area of all the surfaces of the solid. For example, a cube has 6 faces, so its total surface area will be 6 times the surface area of one face.

## What is the surface area of square?

As the area of a square is **the product of the length of its sides**, the final formula for the surface area of a cube is: A = 6 * l² , where l is a square side.

## What is the surface area of the cube?

= 6a^{2}

Explanation: The surface area of a cube = **6a ^{2}** where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a

^{2}→ a

^{2}= 16, so that’s the area of one face of the cube.

## What is the surface area of the prism?

The surface area of a prism is given as **S = (2 × Base Area) + (Base perimeter × height)** where “S” is the surface area of the prism.

## Is surface area squared or cubed?

squared

Look Out: surface area is only two-dimensional and is expressed as **units squared**, not units cubed. This is because we are only dealing with the flat surfaces, not the inside space.

## How do you find surface area of a cuboid?

The surface area of a cuboid can be calculated by **adding together the areas of the six faces**. The opposite faces of a cuboid are the same sized rectangles, so find the total area of the three different faces, then double to find the total surface area.

## How do you find the surface area of a triangle?

The height line will run through the interior of the triangle. **Multiply the base length by the height**. For example, if your base measurement is 10 cm and the height is 6 cm, the base multiplied by the height would be 60 square cm. Divide the result of the base times height by two to determine the surface area.

## How do you find the curved surface area of a cylinder?

The radius ‘r’ of a cylinder is the radius of its base. Now, the area of the rectangle = length × breadth. 2πr is the circumference of the circle and h is the height. Area of the curved surface will be = **2πr × h = 2πrh**.

## What is the formula of CSA of Cone?

The curved surface area of the cone can be given by finding the area of the sector by using the formula, **Area of the sector (in terms of length of arc) = (arc length × radius)/ 2 = ((2πr) × l)/2 = πrl**. ∴ The curved surface area of a cone, S = πrl units^{2}.

## What is the volume of the cylinder?

V=πr2h

The formula for the volume of a cylinder is **V=Bh or V=πr2h** . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .

## What is curved surface area?

Curved Surface Area- The curved surface area is defined as **the area of only curved surface, leaving the circular top and base**. Total Surface Area- It is the area of the curved surface as well as the bases.

## Why is the curved surface area of a cone pi RL?

If a perpendicular cut is made from a point on the circumference of the base to the vertex and the cone is opened up, a sector of a circle with radius l is produced. **Since the circumference of the base of the cone is 2πr, therefore the arc length of the sector of the circle is 2πr**.

## Why is surface area of cone?

Surface Area of a cone Formula

The surface area of a cone is **the total area occupied by its surface in a 3D plane**. The total surface area will be equal to the sum of its curved surface area and circular base area.

## What is pi * D * L?

Well, it’s simple: piD = length, the circumference of the cylinder. L = length, the length. piDL = length*length = **area = area of the cylinder**.

## What is the curved surface area of hemisphere?

2πr^{2}

The curved surface area of a hemisphere = **2πr ^{2}**, where ‘r’ is the radius of the hemisphere.

## What is the surface area of a dome?

2 π r^{2} square units

**2 × π r × h square units**. If, for example, h = r so that the dome (light blue) is half of the sphere then the surface area of the dome is 2 π r^{2} square units, twice the area ofthe base (dark blue).

## For which solid figure is the total surface area same as its curved surface area?

The total surface area of **hemisphere** will be equal to the sum of its curved surface area and the base area of hemisphere.

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