Geometry Concepts and Problem Solving

The video tutorial covers five geometry problems, including calculating the perimeter of a quilt made of squares, determining the volume of a box formed by folding a figure, finding the surface area of a globe using its diameter, calculating the area of a rectangle after removing triangles, and determining the area of a triangle within a rhombus. Each problem is solved step-by-step, demonstrating the application of geometric formulas and principles.

What is the perimeter of a quilt made up of 25 squares, each with a side length of 30 cm, arranged in a 5x5 grid?

• 450 cm

• 900 cm

• 600 cm

• 750 cm

How do you calculate the volume of a box formed by folding a 5x5 square with 2 cm high sides?

• 5 x 2 x 2

• 5 x 5 x 5

• 5 x 5 x 2

• 5 x 5 x 1

What is the approximate surface area of a globe with a diameter of 18 inches?

• 1000 square inches

• 800 square inches

• 500 square inches

• 1200 square inches

If a rectangle has a length of 20 meters and a width of 10 meters, what is its area before removing any triangles?

• 100 square meters

• 150 square meters

• 200 square meters

• 250 square meters

What is the area of the remaining figure after removing four triangles, each with a base and height of 4 meters, from a rectangle?

• 180 square meters

• 172 square meters

• 190 square meters

• 168 square meters

In a rhombus, what is the relationship between its diagonals?

• They are parallel

• They are equal in length

• They are perpendicular but not bisecting

• They bisect each other at right angles

What is the area of triangle WXT in a rhombus if the side length is 12 and the height is calculated using the Pythagorean Theorem?

• 12 square roots of 3

• 18 square roots of 3

• 24 square roots of 3

• 30 square roots of 3

What is the length of the diagonals in a rhombus if each side is 12 and the diagonals bisect each other?

• 24

• 6

• 12

• 18

If a rhombus has angles of 60 and 30 degrees, what type of triangles are formed by its diagonals?

• Scalene triangles

• Equilateral triangles

• Isosceles triangles

• Right triangles

What is the formula for the area of a triangle?

• Base x Height

• 1/2 x Base x Height

• Base + Height

• Base x Height x 2