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.

Two circles have radii of 8 cm and 3 cm. The distance between their centers is 15 cm. What is the length of a direct common tangent?

Two circles have radii of 8 cm and 3 cm. The distance between their centers is 15 cm. What is the length of a direct common tangent? दो वृत्तों की त्रिज्याएँ 8 सेमी और 3 सेमी हैं। उनके केंद्रों के बीच की दूरी 15 सेमी है। सीधे स्पर्श रेखा की लंबाई क्या है?  

Two circles have radii of 8 cm and 3 cm. The distance between their centers is 15 cm. What is the length of a direct common tangent? Read More »

A spherical tank is filled with water. The radius of the sphere is 6 meters.

A spherical tank is filled with water. The radius of the sphere is 6 meters. The tank is used to fill cylindrical, each with a radius of 1 meter and a height of 12 meters. How many containers can be filled? एक गोलाकार टैंक पानी से भरा हुआ है। इस गोले का त्रिज्या 6 मीटर

A spherical tank is filled with water. The radius of the sphere is 6 meters. Read More »

A perfect cube with a side length of 8cm has the largest possible sphere fitted inside it.

A perfect cube with a side length of 8cm has the largest possible sphere fitted inside it. what is the volume of the empty space within the cube? 8 सेमी भुजा वाला एक पूर्ण घन के अंदर सबसे बड़ा संभव गोला फिट किया गया है। घन के भीतर बची हुई (खाली) जगह का आयतन क्या

A perfect cube with a side length of 8cm has the largest possible sphere fitted inside it. Read More »

A banner is shaped like a trapezium with bases 5 m and 3 m, and height 4m. If printing costs ₹$ 250/m^2$, what is the total cost?

A banner is shaped like a trapezium with bases 5 m and 3 m, and height 4m. If printing costs ₹$ 250/m^2$, what is the total cost? एक बैनर समलम्ब चतुर्भुज के आकार का है जिसका आधार 5 मीटर और 3 मीटर है, तथा ऊँचाई 4 मीटर हैं। यदि छिपाई की लागत ₹250/ वर्ग मीटर

A banner is shaped like a trapezium with bases 5 m and 3 m, and height 4m. If printing costs ₹$ 250/m^2$, what is the total cost? Read More »

A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m;  T2 with bases 50m & 30m, height 15 m. Land costs ₹60/ $m^2$. What is the total land cost?

A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m;  T2 with bases 50m & 30m, height 15 m. Land costs ₹60/ $m^2$. What is the total land cost? एक किसान की भूमि दो आसान्न समलंब चतुर्भुजों से बनी है: T1 जिसकी समानांतर भुजाएँ 70 मीटर और 50 मीटर हैं

A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m;  T2 with bases 50m & 30m, height 15 m. Land costs ₹60/ $m^2$. What is the total land cost? Read More »

A prism with a parallelogram base has base area $80\text{cm}^2$ and height 12 cm. If its lateral surface area is $384\text{cm}^2$

A prism with a parallelogram base has base area $80\text{cm}^2$ and height 12 cm. If its lateral surface area is $384\text{cm}^2$, What is the perimeter of the base?  समांतर चतुर्भुज आधार वाले एक प्रिज़्म का क्षेत्रफल 80वर्ग सेमी और ऊँचाई 12 सेमी है। यदि इसका पार्श्व पृष्ठीय क्षेत्रफल  384वर्ग सेमी है। तो आधार का परिमाप क्या

A prism with a parallelogram base has base area $80\text{cm}^2$ and height 12 cm. If its lateral surface area is $384\text{cm}^2$ Read More »

If the radius of a right circular cylinder is increased by 10 percent while its height remains constant, what is the percentage increase in its volume?

If the radius of a right circular cylinder is increased by 10 percent while its height remains constant, what is the percentage increase in its volume? यदि एक लंब वृत्तीय बेलन की त्रिज्या में 10 प्रतिशत की वृद्धि कर दी जाए और उसकी ऊँचाई स्थिर रहे, तो उसके आयतन में कितने प्रतिशत की वृद्धि होगी?

If the radius of a right circular cylinder is increased by 10 percent while its height remains constant, what is the percentage increase in its volume? Read More »

A solid cylinder is reduced in radius by 20% and increased in height by 50%. What net percentage change occurs in its volume?

A solid cylinder is reduced in radius by 20% and increased in height by 50%. What net percentage change occurs in its volume? एक ठोस बेलन  की त्रिज्या में 20% की कम कर दी जाती है और उसकी ऊँचाई में 50% की वृद्धि कर दी जाती है। उसके आयतन में कुल कितने प्रतिशत परिवर्तन होगा?

A solid cylinder is reduced in radius by 20% and increased in height by 50%. What net percentage change occurs in its volume? Read More »

A triangular prism has a base formed by a triangle

A triangular prism has a base formed by a triangle with side lengths 9 cm, 12 cm, and 15 cm, If the height of the prism (Perpendicular to the base) is 10 cm, calculate its lateral surface area. एक त्रिभुजाकार प्रिज्म का आधार 9 सेमी, 12 सेमी और 15 सेमी भुजाओं वाले त्रिभुज से बना

A triangular prism has a base formed by a triangle Read More »

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