Mechanical - UNIT - 6 - Mensuration - Area of Cut-Out Regular - MCQ
A rectangle is joined with a semicircle (radius 3 cm) at one of its shorter sides. The rectangle measures 6 cm by 4 cm. Find the total area.
Find the volume of a cylinder with a height of 10 cm and a diameter of 14 cm.
A rectangle (length 8 cm, breadth 5 cm) is combined with a semicircle of radius 2.5 cm. Find the perimeter of the shape.
The area of an irregular plot is approximated by dividing it into a rectangle (20 m × 10 m) and a triangle (base 10 m, height 5 m). Find the total area.
Find the total surface area of a cube with a side of 5 cm.
A circle has a radius of 14 cm. Find the area of a sector with a central angle of 45°.
Find the area of a circular ring with an outer radius of 10 cm and inner radius of 7 cm.
Find the perimeter of a regular hexagon with each side measuring 6 cm.
Find the area of a trapezium with parallel sides of 12 cm and 8 cm and a height of 5 cm
A swimming pool is in the shape of a rectangle with dimensions 20 m × 10 m, and one of its shorter sides is attached to a semicircle with a diameter of 10 m. Find the total area of the pool.
Find the volume of a hollow cylinder with an outer radius of 10 cm, inner radius of 7 cm, and height of 12 cm.
Find the area of a parallelogram with a base of 15 cm and height of 8 cm.
Find the total surface area of a cone with radius 5 cm and slant height 13 cm.
A triangular park has a base of 10 m and height of 8 m. A semicircle of radius 5 m is added at one side of the base. Find the total area of the park.
A circle has a radius of 14 cm. Find the area of the segment when the central angle is 60°.
A cylindrical tank has a radius of 2 m and a height of 5 m. What is its capacity in liters?
A solid is made by combining a cylinder (radius 4 cm, height 6 cm) with a hemisphere (radius 4 cm). Find the total volume of the solid.
Find the area of a regular hexagon with a side length of 6 cm.
Calculate the area of an ellipse with a major axis of 10 cm and minor axis of 6 cm.
Find the perimeter of a semicircle with a radius of 14 cm.
A cone has a radius of 6 cm and height of 9 cm. Find its volume.
A playground is shaped like a rectangle with dimensions 40 m × 20 m, and a circular garden with a radius of 7 m is in the center. Find the remaining area of the playground.