Geometry and Measurement Problems

The video tutorial covers various mathematical problems, including calculating the diameter of a circle, determining the number of lamps needed for a garden, understanding the properties of geometric shapes, and solving reflection and volume problems. The tutorial provides step-by-step solutions and encourages viewers to engage with the material. It concludes with a farewell message and an invitation to share the video.

If the radius of a circle is 14 cm, what is the diameter?

• 14 cm

• 28 cm

• 42 cm

• 56 cm

What is the area of a circular segment if the radius is 14 cm and the angle is 66 degrees?

• 66 cm²

• 94 cm²

• 132 cm²

• 188 cm²

How many lamps are needed if a garden with a perimeter of 96 m has lamp posts every 3 meters, with each post having 2 lamps?

• 96 lamps

• 32 lamps

• 48 lamps

• 64 lamps

What is the perimeter of a square garden with a side length of 24 m?

• 120 m

• 72 m

• 96 m

• 48 m

Which geometric shape has two pairs of parallel sides?

• Triangle

• Circle

• Trapezoid

• Rectangle

What is the surface area of a box without a lid if its dimensions are 90 cm by 60 cm by 70 cm?

• 12600 cm²

• 15600 cm²

• 18600 cm²

• 21600 cm²

How many sides does a rectangle have?

• 3

• 2

• 5

• 4

What is the result of reflecting a point across the x-axis?

• The y-coordinate changes

• Both coordinates change

• Neither coordinate changes

• The x-coordinate changes

If a container has a base area of 320 cm² and contains 2560 cm³ of water, what is the height of the water?

• 6 cm

• 8 cm

• 12 cm

• 10 cm

What is the formula for the volume of a rectangular prism?

• Length × Width × Height

• 2 × (Length + Width + Height)

• Length + Width + Height

• Length × Width