ICSE CLASS 9 | CHAPTER 20 | SOLIDS - SURFACE AREA & VOLUME 3D | CONCISE MATHS | SELINA PUBLICATIONS

Описание: ICSE CLASS 9 | CHAPTER 20 | SOLIDS - SURFACE AREA & VOLUME 3D | CONCISE MATHS | SELINA PUBLICATIONS

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Surface area and volume of cubes and cuboids for Class 9 ICSE include:

Total Surface Area (TSA), Lateral Surface Area (LSA), Volume, Diagonal, Cube, Cuboid, Rectangular Prism, and specific formulas like 6a² for the cube's TSA and 2(lb + bh + hl) for the cuboid's TSA, with 'a' for cube side length and 'l', 'b', 'h' for cuboid dimensions.

Key Terms

3D Shapes/Solids: Three-dimensional geometric figures with length, width, and height.

Cube: A 3D shape with six square faces where all sides are equal.

Cuboid: A 3D shape with six rectangular faces, also known as a rectangular prism.

Faces: The 2D surfaces that make up a 3D shape.

Lateral Surface Area (LSA): The area of the sides of a 3D object, excluding the top and bottom bases.

Total Surface Area (TSA): The sum of the areas of all the faces of a 3D object.
Volume: The amount of space occupied by a 3D object.

Diagonal: The line segment connecting two opposite vertices of the 3D shape.

Key Formulas

Cube:

TSA: 6a²

LSA: 4a²

Volume: a³

Diagonal: √3a

Cuboid:

TSA: 2(lb + bh + hl)

LSA: 2h(l + b)

Volume: l × b × h

Diagonal: √(l² + b² + h²)

Application

These keywords and formulas are used to calculate the areas and volumes of 3D solids for various problems, such as finding the area to be whitewashed in a room (a cuboid) or determining the amount of space a tank (a cuboid) can hold.