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Calculate the area of a rectangle with a length of 12 cm and a width of 5 cm.

Area = length \times width

Find the circumference of a circle whose diameter is 10 inches.

Circumference = \pi \times diameter

Calculate the area of a parallelogram with base 8 cm and height 3 cm.

Area = base \times height

What is the lateral surface area of a regular pyramid with a square base of side 10 meters and a slant height of 12 meters?

Lateral Surface Area = \frac{1}{2} \times perimeter_{base} \times slant height

Calculate the area of a kite with diagonals of 9 inches and 12 inches.

Area = \frac{1}{2} \times d_1 \times d_2

Determine the volume of a cube with sides measuring 3 meters.

Volume = side^3

Find the area of a rhombus whose diagonals are 8 cm and 6 cm.

Area = \frac{d_1 \times d_2}{2}

Find the surface area of a cylinder with a radius of 4 m and height of 7 m.

Surface Area = 2\pi r (r + h)

Calculate the volume of a frustum of a cone with radii of the circular top and base of 3 cm and 5 cm respectivey, and a height of 4 cm.

Volume = \frac{1}{3}\pi h (r_1^2 + r_1r_2 + r_2^2)

Determine the volume of a cylindrical can with a radius of 7 cm and a height of 10 cm.

Volume = \pi r^2 \times height

Find the length of the hypotenuse in a right-angled triangle with legs of 6 m and 8 m.

c = \sqrt{a^2 + b^2}

Find the surface area of a sphere with a radius of 4 inches.

Surface Area = 4 \pi r^2

Calculate the length of the diagonal of a square with sides 5 inches long.

Diagonal = s\sqrt{2}

Find the measure of an inscribed angle in a circle, where the intercepted arc measures 100 degrees.

Inscribed Angle = \frac{1}{2} \times Intercepted Arc

Determine the area of a regular octagon with a side length of 2 cm.

Area = 2(1 + \sqrt{2})s^2

Find the volume of a square-based pyramid with a base side of 6 feet and a height of 9 feet.

Volume = \frac{1}{3} \times base \, area \times height

Calculate the centroid of a triangle with vertices at (1,2), (4,6), and (5,9).

Centroid = \left( \frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3} \right)

Determine the sum of the interior angles of a decagon (a 10-sided polygon).

Sum = (n - 2) \times 180^\circ

Determine the area of a sector of a circle with radius 6 m for a central angle of 30 degrees.

Area = \frac{\theta}{360} \times \pi r^2

Determine the volume of a hemisphere with a radius of 3 inches.

Volume = \frac{2}{3} \pi r^3

Calculate the exterior angle of a regular pentagon.

Exterior Angle = \frac{360^\circ}{number \, of \, sides}

Determine the equation of the circle in the coordinate plane with a center at (4, -5) and a radius of 3.

(x - a)^2 + (y - b)^2 = r^2

Find the surface area of a rectangular prism with length 4 cm, width 3 cm, and height 2 cm.

Surface Area = 2lw + 2lh + 2wh

Calculate the area of a regular hexagon with a side length of 4 cm.

Area = \frac{3\sqrt{3}}{2} \times s^2

What is the area of a trapezoid with bases of 10 meters and 8 meters, and a height of 5 meters?

Area = \frac{1}{2} \times (base_1 + base_2) \times height

Determine the volume of a cone with a radius of 3 cm and a height of 7 cm.

Volume = \frac{1}{3} \pi r^2 \times height

Calculate the area of an equilateral triangle with a side of 4 cm.

Area = \frac{\sqrt{3}}{4}s^2

Find the length of an arc of a circle with a radius of 5 cm for a central angle of 72 degrees.

Arc Length = \frac{\theta}{360} \times 2\pi r

Calculate the total length of edges in a regular tetrahedron with an edge of 4 cm.

Total Edge Length = Number \, of \, Edges \times Edge \,Length

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