Untitled Quiz

Mathematics Worksheet - Mensuration

• Cuboid: A cuboid is 13 cm long and 6 cm high. Its volume is 624 cm³. Its breadth is 8 cm. Total surface area is 460 sq cm.

• Rainfall and Area: 4 cm of rainfall on a 2 hectare field equates to 8000 liters of water.

• Three Cubes: Three cubes, each with 3 cm edges, combined form a cuboid of surface area 126 sq cm.

• Rectangular Field and Pit: A rectangular field (156 m long, 81 m wide) has a rectangular pit dug (13 m long, 12 m wide). The removed mud, 25 cm thick, is spread evenly over the remaining part of the field. The depth of the pit is 20 m.

• Weight of Ice Block: A cubical block of ice (50 cm side) weighing 900 kg/m³ has a weight of 112.5 kg.

• Swimming Pool: A swimming pool (20 m long, 14 m wide, 3 m deep) costs ₹7260 to cement its floor and walls at ₹15 per sq m.

• Cylindrical Tree Trunk: A tree trunk with a circumference of 176 cm and length 3 m has a volume of 0.74 m³.

• Cylindrical Pillars: 24 cylindrical pillars (radius 28 cm, height 4 m) cost ₹1351.68 to paint their curved surface area at ₹8 per m².

• Ratio of Cylinders: Two cylinders with radii in a 2:3 ratio and heights in a 5:3 ratio have volumes in a 20:27 ratio and curved surface areas in a 10:9 ratio.

• Garden Roller: A garden roller (diameter 1.4 m, length 2 m) covers 50 revolutions and covers an area of 440 sq m.

• Half Solid Cylinder: A half solid cylinder has a volume of 1.25π cu cm and total surface area of 16 sq cm (diameter 2 cm, height 2.5cm).

• Square Area: Area of a square with side 8 cm is 64 sq cm, with side 5 m is 25 sq m, and with side 7 km is 49 sq km.

• Rectangle Area: Area of a rectangle with length 8 cm and breadth 5 cm is 40 sq cm, with length 5 cm and breadth 2 cm is 10 sq cm, and with length 9 km and breadth 1 cm is 9 sq km.

• Trapezium Area: Find the area of various trapeziums (length of parallel sides and height are given).

• Semicircle Area: Find the area of a semicircle with a radius of 5 cm.

• Triangle Area: Find the area of various triangles (base and height are given)

• Rhombus Area Find area of various rhombuses (diagonals are given).

• Circle Area: Find the area of circles with given radii.

• Cube Area: Area of a cube whose side is 6 cm is 216 sq cm.

• Shaded Area: Determine the area of a shaded region within a larger circle and a smaller circle.

• Tank Volume: A tank with dimensions 7 m x 5 m x 20 m can store 700 m³ of water.

• Sphere Area: Area of a sphere with radius 8 cm is 803.84 sq cm.

• Tile Count: 50000 tiles needed to cover a rectangular floor of 1000 sq m (20 × 50 dimensions).

Additional Questions and Answer Summary

• Square Area (8 cm): 64 sq cm

• Rectangle Area (8 x 5): 40 sq cm

• Rectangle Area (5 x 2): 10 sq cm

• Rectangle Area (9 x 1): 9 sq km

• Trapezoid Area (h = 7, 4 + 3): 24.5 sq cm

• Trapezoid Area (h = 9, 7 + 3): 45 sq cm

• Trapezoid Area (h = 10, 8 + 6): 70 sq cm

• Semicircle Area (r = 5): 39.25 sq cm

• Triangle Area (b = 5, h = 12): 30 sq cm

• Rhombus Area (d1 = 15, d2 = 12): 90 sq cm

• Circle Area (r = 10): 314 sq cm

• Cube Area (s = 6): 216 sq cm

• Shaded Region Area (R = 10, r = 8): 113.04 sq cm