Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q37.

Expert-verified

Geometry

Found in: Page 480

Book edition Student Edition

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

Pages 227 pages

ISBN 9780395977279

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

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 $21600 {cm}^{3}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

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

The figure provided in the question,

Step 2. Determine the base.

Firstly, find the base area of rectangular beam.

The dimensions of rectangular beam are

$\begin{matrix} 8 + 8 + 8 = 24 cm, \\ 6 + 6 + 6 = 18 cm \end{matrix}$

Then, the base area is:

$24 \times 18 = 432 {cm}^{2}$

Step 3. Determine the volume.

The volume of beam is:

$\begin{matrix} v = B h \\ = 432 \times 300 [substitute] \\ = 129600 {cm}^{3} [multiply] \end{matrix}$

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

$\begin{matrix} v' = \frac{v}{6} \\ = \frac{129600}{6} [substitute] \\ = 21600 {cm}^{3} [divide] \end{matrix}$

Thus, the volume of each piece is $21600 {cm}^{3}$ .

Most popular questions for Math Textbooks

A brick with dimensions 20 cm, 10 cm and 5 cm, weighs 1.2 kg. A second brick of the same material has dimensions 25 cm, 15 cm and 4 cm. What is its weight?

A diagonal of a box forms a $35^{\circ}$ angle with a diagonal of the base. Use trigonometry to approximate the volume of the box.

Consider the following prism.

Suppose the bases are regular hexagons with 4cm edges.

a.Find the lateral area.

b.Find the base area.

c.Find the total area.

d.Find the volume.

Each edge of pyramid V- XYZ is 6 cm. Find the following numerical answers.

$Slant Height =___$

Find the weight to the nearest 10 kg, of the steel 1- beam shown below. Steel weighs 7860 kg/m³?

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free