Volume Calculation of Regular Solids

This video tutorial explains how to measure the volume of regular solids by first determining their dimensions using appropriate tools. It covers the formulas for calculating the volume of different geometric shapes, such as cubes, prisms, cylinders, spheres, cones, and pyramids. The tutorial includes examples of calculating the volume of a pyramid and a cylinder, providing step-by-step instructions. The session concludes with an invitation to explore more exercises on the topic.

What are the two main types of solids based on their geometric properties?

• Geometric and non-geometric

• Cubic and spherical

• Solid and liquid

• Regular and irregular solids

Which tool is NOT mentioned for measuring the dimensions of regular solids?

• Vernier caliper

• Micrometer

• Protractor

• Tape measure

What is the formula for calculating the volume of a cube?

• Volume = side^2

• Volume = side^3

• Volume = side^5

• Volume = side^4

How do you calculate the volume of a prism?

• Volume = width × depth × height

• Volume = width × depth

• Volume = width × height

• Volume = depth × height

What is the formula for the volume of a cylinder?

• Volume = π × radius^2 × height

• Volume = π × radius × height

• Volume = 2π × radius^2 × height

• Volume = π × radius^3 × height

Which formula is used to calculate the volume of a sphere?

• Volume = 4/3 × π × radius^2

• Volume = π × radius^3

• Volume = 4/3 × π × radius^3

• Volume = 2/3 × π × radius^3

What is the volume of a square-based pyramid with a width of 7 cm, depth of 3 cm, and height of 4 cm?

• 84 cm³

• 42 cm³

• 56 cm³

• 28 cm³

In the example of the square-based pyramid, what is the depth of the pyramid?

• 5 cm

• 3 cm

• 7 cm

• 4 cm

What is the first step in calculating the volume of a cylindrical object?

• Measure the radius

• Measure the height

• Choose the correct formula

• Calculate the area

What is the volume of a cylindrical object with a radius of 3 cm and height of 7 cm?

• 197.82 cm³

• 188.4 cm³

• 205.5 cm³

• 210 cm³