Prepare the models of Cube, Cuboid and find the formula for LSA and TSA. Find LSA and TSA by measuring the dimensions of collected cube and cuboid from daily life situations.
Answers
Step-by-step explanation:
When you look around the room in your house, you can see many objects that have the shape of a rectangular box. For example, furniture, books and TV are in the shape of a rectangular box. This shape is a cuboid. On the other hand, objects such as ice, dice and Rubik’s cube are examples of another 3D shape called a cube. As a matter of fact, a cube is a special type of cuboid in which all sides are squares and identical. Let us learn more about cubes and cuboids.
What is Cuboid?
Cuboid
In geometry, a cuboid is a three-dimensional shape in which all sides are rectangles. It is a polyhedron, having 6 rectangular sides called faces, 8 vertices and 12 edges. These rectangular faces are at right angles to one another. Thus, all angles in a cuboid are right angles.
How to identify a cuboid?
In a cuboid, each face is a rectangle and the corners or the vertices are 90-degree angles. Also, the opposite faces are always equal. For example, a book is a cuboid. It has 6 surfaces of which each opposite pair is of the same dimensions.
If l is the length, b is the breadth and h is the height of the cuboid, then the sum of areas of six rectangles of a cuboid gives the total surface area of the cuboid. The formula for it is given below.
Total surface area of a cuboid = 2 [( l × b ) + ( l× h ) + ( b× h )]
= perimeter of base ×height
or simply,
Lateral surface area of a cuboid = 2(l+b)h
Volume of Cuboid
The volume of a cuboid can be found by multiplying the base area with the height. Therefore,
volume (V) = A x h = (l x b) x h. In simple terms,
Volume of cuboid (v) = l × b × h
where l is the length, b is the base and h is the height of the cuboid.
Diagonal of a Cuboid
The length of the longest diagonal of a cuboid is given by
Length of diagonal of cuboid = √ (l² + b² + h²)
What is Area of Trapezium, Parallelogram, and Rhombus?
What is a Cube?
A cube is a three-dimensional object which is formed when six identical squares bind to each other in an enclosed form. A cube has 6 faces, 12 edges, and 8 vertices. In other words, a cuboid whose length, breadth and height are equal is called a cube