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Q37.

Expert-verifiedFound in: Page 480

Book edition
Student Edition

Author(s)
Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages
227 pages

ISBN
9780395977279

**A rectangular beam of wood 3 m long is cut into 6 pieces. Find the volume of each piece in cubic centimetres.**

The volume of each piece is$21600{\text{\hspace{0.17em}\hspace{0.17em}cm}}^{3}$ .

A rectangular beam of wood 3 cm long is cut into six pieces.

The figure provided in the question,

Firstly, find the base area of rectangular beam.

The dimensions of rectangular beam are

$\begin{array}{c}8+8+8=24\text{\hspace{0.17em}cm,}\\ 6+6+6=18\text{\hspace{0.17em}cm}\end{array}$

Then, the base area is:

$24\times 18=432{\text{\hspace{0.17em}\hspace{0.17em}cm}}^{2}$

The volume of beam is:

$\begin{array}{c}v=Bh\\ =432\times 300\text{[substitute]}\\ =129600{\text{\hspace{0.17em}\hspace{0.17em}cm}}^{3}\text{[multiply]}\end{array}$

To find each piece volume, divide the volume by six.

$\begin{array}{c}v\text{'}=\frac{v}{6}\\ =\frac{129600}{6}\text{[substitute]}\\ =21600{\text{\hspace{0.17em}\hspace{0.17em}cm}}^{3}\text{[divide]}\end{array}$

Thus, the volume of each piece is$21600{\text{\hspace{0.17em}\hspace{0.17em}cm}}^{3}$ .

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