Chapter 21. Surface Areas and Volumes of Solid Figures NIOS Class 10 Mathematics Chapter-Wise Important Questions and Answers
Chapter 21. Surface Areas and Volumes of Solid Figures | NIOS Class 10 Mathematics Important Questions, Fully Solved Answers, and Chapter-wise Exam Preparation Guide.
Chapter 21. SURFACE AREAS AND VOLUMES OF SOLID FIGURES
Optional Questions and Answers for Algebraic Expressions and Polynomials [1 Mark]
CHECK YOUR PROGRESS 3.1
Short Questions and Answers for Algebraic Expressions and Polynomials [1 or 2 Marks]
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Long Questions and Answers for Algebraic Expressions and Polynomials [ 3 or 4 Mark]
CHECK YOUR PROGRESS 21.1
1. Find the surface area and volume of a cuboid of length 6m, breadth 3m and height 2.5m.
Solution: Here, l=6 m , b=3 m , h=2.5 m 
The surface area of a cuboid =2lb+bh+hl 
=26×3+3×2.5+2.5×6 
m²
=218+7.5+15.0=2×40.5=81 
m²
The volume of a cuboid =l×b×h 
=6×3×2.5=45 
m³
2. Find the surface area and volume of a cube of edge 3.6 cm.
Solution: Here, a=3.6 
cm
The surface area of a cube =6a2
=6×3.62=6×12.96=77.76 cm² 
The volume of a cube =a³=3.6³=3.6×3.6×3.6=279.94 cm³ 
3. Find the edge of a cube whose volume is 3375 cm³ . Also, find its surface area.
Solution: Let , a the edge of a cube .
A/Q, a3=3375 
⇒a3=153
⇒a=15 
cm
The surface area of a cube =6a2 
=6×152=6×225=1350 cm²
4. The external dimensions of a closed wooden box are 42 cm × 32 cm × 27 cm. Find the internal volume of the box, if the thickness of the wood is 1cm.
Solution: Here, l= 42-21=42-2=40 cm
,
b= 32-21=32-2 =30 cm
And h= 27-21=27-2=25 cm
The internal volume of the box =l×b×h
=40×30×25=1200×25=30000 cm³ 
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