In Math, this past few days we have been learning about "Measurements".
Area;
The area of a shape is a measure of the amount of 2-dimensional surface the shape covers.
Faces; are the flat surfaces of the shape.
Edges; are the lines between faces.
Verticles; are the corners.
Rectangle:
Area = length x width
Triangle:
Area = 1/2 x base x height
Parallelogram:
Area = base x height
Trapezium:
Area = 1/2 x (a+b) x height
Net
A net of a 3D shape is a plan draw in a 2D that could be cut out and folded up to make that shape.
Perimeter
The perimeter of a 2-dimensional shape is the distance around the outside. Because it is a distance, it is measure in mm, cm, m, or km.
Perimeter = a+a+a+a
Circles
The perimeter of a circle is called the circumference.
If you know the radius: C =2 x π x r
If you know the diameter: C = π x d
- The formula for the area is:
Area = π x radius squared
Calculating Volume
The volume of a 3-dimensional shape is a representation of the amount of space inside it or the amount of 'stuff' that could fit inside the shape.
Cuboid (Volume)
A cuboid is a box shape with all 6 faces being rectangles. This also includes cubes with all faces being square.
The volume of a cuboid is calculated using the rule:
Volume = length x width x height
Prisms
A prism is a shape in which there are at least one directions you would slice the shape, that would create the same cross-sectional area anywhere in the direction. Usually, you need yo calculate the cross-sectional area first.
The volume of a prism is calculated using the rule:
Volume = cross-sectional area x length
Pyramids
A pyramid is a shape that has a particular shape base (often a square) and then all sides face come together to a point. Also, you will usually need to calculate the base area first.
The volume of a pyramid is calculated using the rule:
Volume = 1/3 x base area x height
Spheres
A sphere is a perfectly round solid such as a ball.
The volume of a sphere is calculated using the rule:
Volume = 4/3 x π x radius cube
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