# NCERT Class 10 Mathematics Chapter 12 Surface Areas and Volumes Solutions: In-Text and Exercise Questions Explained | SwaVid

This section provides real questions from NCERT Class 10 Mathematics textbook, Chapter 12, "Surface Areas and Volumes", specifically from Exercise 12.1....

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# Surface Areas and Volumes

## Find the gaps before this chapter finds them for you.

## Related chapters

Chapter 12 · Class 10 Mathematics

This section provides real questions from NCERT Class 10 Mathematics textbook, Chapter 12, "Surface Areas and Volumes", specifically from Exercise 12.1. Each question is followed by a detailed, step-by-step solution designed for Class 10 students.

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Exercise 12.1

Answer: 160 cm²

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- Given, the volume of each cube = 64 cm³.
- The formula for the volume of a cube is side³, so side = ∛Volume.
- Side of each cube (a) = ∛64 cm³ = 4 cm.
- When two cubes are joined end to end, a cuboid is formed. The dimensions of the resulting cuboid will be:
- Length (l) = side + side = 4 cm + 4 cm = 8 cm.
- Breadth (b) = side = 4 cm.
- Height (h) = side = 4 cm.
- The formula for the surface area of a cuboid is 2(lb + bh + hl).
- Substitute the dimensions into the formula: Surface Area = 2((8 × 4) + (4 × 4) + (4 × 8)) cm².
- Surface Area = 2(32 + 16 + 32) cm².
- Surface Area = 2(80) cm².
- Surface Area = 160 cm².
- NCERT Class 10 Mathematics textbook: Mathematics : Chapter 12: Surface Areas and Volumes

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