fbpx
Login
Generic filters
Exact matches only
Search in title
Search in content
Search in excerpt
Filter by Lesson Categories

Perpendicular and Parallel Lines

Definition, notation, and visualisation of line segments, rays, and lines.

Courses Overview ? Video Tutorial Definitions of Line Types: Line segments have two endpoints, rays have one, and lines extend infinitely. Perpendicular and Parallel Lines: Perpendicular lines Intersect at a 90-degree angle, while parallel lines remain the same distance apart and never intersect. Measuring Distance: Between two points, from a point to a line (using […]

Volume and Surface Area of Pyramids, Cones, Spheres

Diagram showing volume and surface area formulas for a pyramid. Includes base area, height, and the net of the pyramid.

Courses Overview ? Video Tutorial Volume of Pyramids and Cones: $frac{1}{3} times text{base area} times text{height}$, where height is always perpendicular to the base. Surface Area of Pyramids: Add the base area and the areas of all triangular sides. Surface Area of Cones: Add the base circle area $(pi times r^2)$ and the lateral surface […]

Perimeter of a Polygon

Perimeter of a rectangle and square with formulas. Rectangle: length 5 cm, width 3 cm, perimeter 16 cm. Square: side 2 m, perimeter 8 m.

Courses Overview ? Video Tutorial Membership Required You must be a member of Math Angel Plus or Math Angel Unlimited to view this content. Join Now Perimeter of a Polygon: Means the total length around a polygon. Add up the lengths of all sides to find the perimeter. Perimeter Formulas: To find the perimeter of […]

Area of Parallelograms and Triangles

Diagram showing the formula for the area of a parallelogram, A = b?h, with labelled base (b) and height (h) on two parallelograms.

Courses Overview ? Video Tutorial Membership Required You must be a member of Math Angel Plus or Math Angel Unlimited to view this content. Join Now Height of Parallelogram: The height ($h$) is always perpendicular to the base and may lie inside or outside the parallelogram. Area of a Parallelogram: The formula is $A = […]

Volume of a Cuboid and Cube

Diagram showing the volume formulas of a cuboid and a cube. Cuboid: 5 cm x 3 cm x 2 cm, volume 30 cm³. Cube: 5 cm sides, volume 125 cm³.

Courses Overview ? Video Tutorial Membership Required You must be a member of Math Angel Plus or Math Angel Unlimited to view this content. Join Now Volume of a Cuboid: $text{V} = text{length} times text{width} times text{height}$ Volume of a Cube: $text{V} = text{side}^3$ Find Missing Dimensions of Cuboids: If the volume and two dimensions […]

Surface Area of Solids

Illustration showing surface area formulas for a cuboid and a cube. The cuboid formula is 2lw + 2lh + 2hw, and the cube formula is 6a².

Courses Overview ? Video Tutorial Surface Area of a Cuboid: Calculate each pair of faces (top-bottom, front-back, left-right) and sum their areas to find the total surface area. Surface Area of a Cube Formula: Since all 6 faces of a cube are identical squares, the surface area formula is $6 times text{side}^2$. Surface Area of […]

Volume of Prisms and Cylinders

Volume formulas for prisms and cylinders showing the equation V = B × h, where B is the base area and h is the height.

Courses Overview ? Video Tutorial Volume of Prisms and Cylinders (Formulas): $V = B times h$, where $B$ is the area of the base and $h$ is the height. For Prisms: First calculate the area of the base shape, such as a triangle or rectangle. For Cylinders: The base of a cylinder is a circle, […]

Cavalieri’s Principle

Demonstrating Cavalieri's principle with bread example. The equation shows both stacks have the same volume (1200 cm³).

Courses Overview ? Video Tutorial Cavalieri’s Principle for Volume: If two solids have the same height and identical cross-sectional areas, they have the same volume, even if they look different. Simple Volume Calculation: Use Cavalieri’s principle to find the volume of an inclined shape by calculating its upright equivalent’s volume with formula $text{base area} times […]

Constructing Triangles

A triangle with vertices A, B, and C, sides a, b, and c, and angles ?, ?, and ?. The vertices are labelled counterclockwise.

Courses Overview ? Video Tutorial Membership Required You must be a member of Math Angel Plus or Math Angel Unlimited to view this content. Join Now Triangle Basics: Triangles consist of vertices, sides, and angles, labelled in a specific way. Angle-Side-Angle (ASA) Construction: Start with the known side, then use a protractor to draw the […]

Congruent Triangles

Congruent triangles criteria with examples showing two triangles with same side lengths and angle sizes.

Courses Overview ? Video Tutorial Congruent Triangles: Have identical side lengths and angle measures, meaning they match in size and shape. Side-Side-Side (SSS): If all three sides of two triangles are equal, the triangles are congruent. Side-Angle-Side (SAS): Two triangles are congruent if they share two equal sides and the angle between them. Angle-Side-Angle (ASA): […]