Question

Find the length of a wooden plank of width 2.5 m, thickness 0.025 m and volume 0.25 m . ​

Answer 1

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Given:

Wooden plank,

• Width = 2.5 m
• Thickness = 0.025 m
• volume = 0.25 m³

To find:

Length of wooden plank = ?

Solution:

Wooden plank has length, width and thickness. So consider it as cuboid

Volume of cuboid = l × b × h

Where, l = length

b = breadth or width

h = height or thickness

On solving,

Volume of cuboid = l × 2.5 × 0.025

0.25 = l × 2.5 × 0.025

0.25 = l × 0.0625

$\\ \\ l = \dfrac{0.25}{0.0625} \\ \\ = \dfrac{25 \times 10 {}^{ - 2} }{625 \times 10 {}^{ - 4} } \\ \\ = 0.04 \times 10 {}^{ - 2 + 4} \\ \\ = 0.04 \times 10 {}^{2} = 4$

Length = 4m

Answer:

Thus, Length of wooden plank is 4 metre

Verification:

If we substitute value of length in volume of cuboid formula our answer should be equal to 0.25 m as given

Volume of cuboid = l × b × h

Volume = 4 × 2.5 × 0.025

Volume = 0.25 m³

0.25 = 0.25

Hence, proved

Basic point:

• Try to solve more such questions to get good hold on it