SaiBook.us Geometry

Lesson Example Discussion Quiz: Class Homework

Lesson

Title: Volume of 3d-shapes(sphere, prism)

Grade: 4-a Lesson: S3-L3

Explanation: Hello students, let us learn a new topic in geometry today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Sphere

A sphere is a three-dimensional geometric shape, perfectly round like a ball, defined as the set of all points equidistant from a fixed center. The distance from the center to any point on its surface remains constant.

The formula for the volume (V) of a sphere is given: V = \$4/3 πr^3\$, where r is the radius of the sphere.

$1$

Explanation: The bouncy ball’s volume is 268.08 cubic centimeters, calculated using the formula V = \$(4/3)πr³\$ with a 4 cm radius and π = 3.14.

Definition: Prism

A prism is a three-dimensional geometric shape with two identical and parallel polygonal bases connected by rectangular or parallelogram faces. It has straight edges and flat surfaces.

The formula to calculate the volume (V) of a prism is given by:

V = \$"Base Area" times "Height"\$

$2$

Explanation: The image displays a triangular prism measuring 96 cubic units, featuring a base length of 6 units, a height of 4 units, and a length of 8 units \$(V = 1/2 times "base" times "height").\$