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Chapter 12: Q37. (page 480)

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

Short Answer

Expert verified

The volume of each piece is21600  cm3 .

Step by step solution

01

Step 1. Given information.

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

The figure provided in the question,

02

Step 2. Determine the base.

Firstly, find the base area of rectangular beam.

The dimensions of rectangular beam are

8+8+8=24 cm,6+6+6=18 cm

Then, the base area is:

24×18=432  cm2

03

Step 3. Determine the volume.

The volume of beam is:

v=Bh=432×300[substitute]=129600  cm3[multiply]

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

v'=v6=1296006[substitute]=21600  cm3[divide]

Thus, the volume of each piece is21600  cm3 .

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