Mensuration

Mensuration deals with the calculation of area, surface area and volume of geometrical figures.

This page offers Mensuration Maths Questions in Hindi and English with step-by-step solutions for SSC, Banking and Railways.

Practicing these questions improves geometry calculation skills.

A regular rights pyramid has a square base with a side length of 12 cm. Its slant height is 8 cm. what is its volume?

A regular rights pyramid has a square base with a side length of 12 cm. Its slant height is 8 cm. what is its volume? एक समलंब पिरामिड का आधार वर्गाकार है और इसकी भुजा की लंबाई 12सेमी है। इसकी तिर्यक ऊँचाई 8 सेमी है। इसका आयतन क्या है?

A regular rights pyramid has a square base with a side length of 12 cm. Its slant height is 8 cm. what is its volume? Read More »

A circular sheet of radius 10cm is cut to from a sector of \(120^\circ\). What is the length of the arc of this sector?

A circular sheet of radius 10cm is cut to from a sector of \(120^\circ\). What is the length of the arc of this sector? 10 सेमी त्रिज्या वाली एक वृत्ताकार शीट को काटकर \(120^\circ\) का एक सेक्टर बनाया जाता है। इस सेक्टर की चाप (Arc) की लंबाई क्या होगी?

A circular sheet of radius 10cm is cut to from a sector of \(120^\circ\). What is the length of the arc of this sector? Read More »

A small rectangular container intended for holding liquids has dimensions of 25 cm length, 20 cm width, and 15cm depth.

A small rectangular container intended for holding liquids has dimensions of 25 cm length, 20 cm width, and 15cm depth. How many liters of liquid can it hold?(Given: 1 liter = \(1000 cm^3\)) तरल पदार्थ रखने के लिए एक छोटा आयताकार पात्र (बर्तन) की  लंबाई 25 सेमी, चौड़ाई 20 सेमी और गहराई 15 सेमी है।

A small rectangular container intended for holding liquids has dimensions of 25 cm length, 20 cm width, and 15cm depth. Read More »

A cubic box with a side length of 30 cm needs to be wrapped with decorative paper made of square pieces, each with a side of 6 cm.

A cubic box with a side length of 30 cm needs to be wrapped with decorative paper made of square pieces, each with a side of 6 cm. What is the minimum number of such square pieces required to cover the entire surface of the box? 30 सेमी भुजा लंबाई वाला एक घनाकार डिब्बा सजावटी

A cubic box with a side length of 30 cm needs to be wrapped with decorative paper made of square pieces, each with a side of 6 cm. Read More »

A cone and a hemisphere have equal curved surface areas and equal radii. Find the ratio of their volumes.

A cone and a hemisphere have equal curved surface areas and equal radii. Find the ratio of their volumes. एक शंकु और एक अर्धगोले के वक्र पृष्ठीय क्षेत्रफल और त्रिज्याएँ बराबर हैं। उनके आयतनों का अनुपात ज्ञात कीजिए।

A cone and a hemisphere have equal curved surface areas and equal radii. Find the ratio of their volumes. Read More »

A right circular cone is cut into two parts of equal height by a horizontal plane.

A right circular cone is cut into two parts of equal height by a horizontal plane. What is the ratio of the volumes of the smaller cone to the frustum? एक समकोण लम्बवृत्तीय शंकु को एक क्षैतिज तल द्वारा समान ऊँचाई के दो भागों में काटा जाता है। छोटे शंकु के आयतन और छिन्नक के

A right circular cone is cut into two parts of equal height by a horizontal plane. Read More »

The length, breadth, and height of a cuboid are in the ratio 6 : 5 : 4,

The length, breadth, and height of a cuboid are in the ratio 6 : 5 : 4, and its volume is $ 810000\sqrt{2}$ cm³. Find its surface area. किसी घनाभाकार वस्तु की लंबाई, चौड़ाई और ऊँचाई का अनुपात 6: 5 : 4 है तथा उसका $ 810000\sqrt{2}$ सेमी³ है। उसका पृष्ठीय क्षेत्रफल ज्ञात कीजिए।

The length, breadth, and height of a cuboid are in the ratio 6 : 5 : 4, Read More »

The area of a triangle is one-third of the area of a parallelogram whose base is 24 cm.

The area of a triangle is one-third of the area of a parallelogram whose base is 24 cm. Find the height of the parallelogram if the sides of the triangle are 22 cm, 18 cm, and 24 cm long, respectively.Use $ (\sqrt{35} = 5.9 $ एक त्रिभुज का क्षेत्रफल एक ऐसे समांतर चतुर्भुज के क्षेत्रफल

The area of a triangle is one-third of the area of a parallelogram whose base is 24 cm. Read More »

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