Mensuration involves calculating the area, perimeter, surface area, and volume of various two-dimensional and three-dimensional shapes. It helps you determine space, materials needed, and resource allocation in practical situations. Attempting Mensuration Class 8 MCQ is important in construction, manufacturing, packaging, and urban planning. It also strengthens your problem-solving and analytical skills. Solve these 10 MCQs to evaluate your knowledge of mensuration.
A square park is surrounded by four identical triangular flower beds, one placed externally on each side of the square. Each triangular bed is equilateral in shape, with a side equal to the side of the square. If the total area of the square and the four triangular beds is 2,176 m², find the area of the square. ((√3 = 1.732)
Answer: (c) 796.71 m²
A rectangular hall has its length exceeding its breadth by 14 metres. The entire hall is fenced at a cost of $6.37 per metre, and the total fencing cost amounts to $637. If 1/3rd of the hall is covered with tiles costing$240 per square metre, and the remaining 2/3rd is carpeted at $175 per square metre, find the total area of the hall.
Answer: (b) 576 m²
A rhombus-shaped field has all sides measuring 15 cm. The two diagonals intersect at right angles and divide the rhombus into four right-angled triangles. If the ratio of the shorter diagonal to the longer diagonal is 3:4, find the area of the field.
Answer: (d) 216 cm2
In parallelogram ABCD, diagonal AC = 24 cm. Points E and F lie on diagonal AC such that BE ⊥ AC and DF ⊥ AC, with BE = DF = 8 cm. Let the diagonals AC and BD intersect at point G. If the area of triangle BEG is equal to the area of triangle DFG, find the area of parallelogram ABCD
Answer: (d) Area = 192 cm²
In parallelogram PQRS, perpendiculars PM and PN are drawn from vertex P to sides QR and SR, respectively. If PM = 20 cm, PN = 36 cm, and the area of the parallelogram is 900 cm², find the lengths of sides QR and SR.
Answer: (a) QR = 45 cm, SR = 25 cm.
Harvey wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the length of the side along the road. If the area of the field is 12,000 m², and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.
Answer: (c) 160 m
A circular garden has a radius of 9 inches. A sector is formed by cutting the garden along two radii that make an angle of 60° at the centre. A triangular flowerbed is placed inside the sector such that it forms an equilateral triangle with all sides equal to the radius. What is the area of the sector that is not covered by the triangle?
Answer: (c) 81(π/6 - √3/4) in²
A garden is designed in the shape of a trapezium with parallel sides measuring 18 cm and 12 cm. Its height is 7 cm. A triangular flowerbed is carved out from one of its parallel sides, such that the flowerbed has a base of 6 cm (lying along the longer parallel side) and a height equal to the height of the trapezium. Calculate the remaining area of the garden after removing the triangular flowerbed.
Answer: (b) 84 cm²
A figure is formed by joining a square of side 8 cm with a semicircle on one of its sides. Find the total perimeter of the figure. (π = 3.14)
Answer: (a) 36.56 cm
A rhombus-shaped clock board and a parallelogram-shaped board both have the same base of 18 cm. The height of the parallelogram is 12 cm, and the height of the rhombus is unknown. If both boards have equal area. Also, the rhombus is divided into four equal triangles from the diagonals. What is the area of each triangle?
Answer: (a) 54 cm²
| Topic | Quiz |
|---|---|
| Number System | Quiz on Number System |
| Exponent and Powers | Quiz on Exponent and Powers |
| Comparing Quantities | Quiz on Comparing Quantities |
| Algebraic Expressions | Quiz on Algebraic Expressions |
| Geometry | Quiz on Geometry |
| Triangles | Quiz on Triangles |
| Mensuration | Quiz on Mensuration |
| Data Handling and Symmetry | Quiz on Data Handling and Symmetry |
