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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鈥夆赌塩尘3 .

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鈥塩尘,6+6+6=18鈥塩尘

Then, the base area is:

24脳18=432鈥夆赌塩尘2

03

Step 3. Determine the volume.

The volume of beam is:

v=Bh=432脳300[substitute]=129600鈥夆赌塩尘3[multiply]

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

v'=v6=1296006[substitute]=21600鈥夆赌塩尘3[divide]

Thus, the volume of each piece is21600鈥夆赌塩尘3 .

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