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Surds Application

The document contains a series of mathematical problems involving surds, including calculations of area and perimeter for various shapes, as well as applications in fields like construction, architecture, and finance. It includes questions on right-angled triangles, circular gardens, and investment schemes. Additionally, it presents a challenging problem regarding the volume of a cube.

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Pooja Sharma
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28 views3 pages

Surds Application

The document contains a series of mathematical problems involving surds, including calculations of area and perimeter for various shapes, as well as applications in fields like construction, architecture, and finance. It includes questions on right-angled triangles, circular gardens, and investment schemes. Additionally, it presents a challenging problem regarding the volume of a cube.

Uploaded by

Pooja Sharma
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Pathways School Noida

Application -Surds
Q9. Find the area and perimeter of the following shapes

a) b)
Let us look at fields where surds are used and try to solve some
problems.

Q10. Construction and Engineering: Find the side of the square whose area is
200 sq. m

Q11. In a right-angled triangle, one of the legs measures 20 cm and the hypotenuse measures 25 cm. Find the length of

Is this a valid triangle? Justify your answer.

Q12. Architecture and Design: A circular garden has a radius of 50 meters. Calculate the area of the garden.

Q13. Mathematics Education: Simplify the expression: (23 + 32)^2.

Q14. Architecture and Design: A triangular plot of land has side lengths 32 meters, 18 meters, and 50 meters. Find the

Q15. Chemistry Lab: In a chemical experiment, the weight of a compound was measured as 232 grams. Another comp

Q16. Finance and Investment: A financial analyst is comparing two investment schemes. Scheme X offers a return of 3

Q17. Botany Research: A botanist is studying the growth rates of two plants. The height of Plant A after 6 months is 20

Q18. Architecture: A circular swimming pool has a radius of 50 meters. A rectangular pool deck surrounds the pool, an

Challenging: If the volume of a cube is given by 272 cubic centimeters, find the length of one side of the cube.

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