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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 12: Q25. (page 479)

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?

Short Answer

Expert verified

The weight is $1.8 kg$ .

Step by step solution

01

Step 1. Given information.

Dimensions of brick are 20 cm, 10 cm and 5 am and weighs 1.2 kg.

Dimensions of second brick are 25 cm, 15 cm and 4 cm.

02

Step 2. Determine the weight.

Firstly, find the volume of the first brick,

$\begin{matrix} v_{1} = 20 \times 10 \times 5 \\ = 1000 \end{matrix}$

For the $1 {cm}^{3}$ , weight of material

$\begin{matrix} 1000 {cm}^{3} = 1.2 kg \\ 1 {cm}^{3} = 0.0012 kg[divide] \end{matrix}$

Now, find the volume of another brick.

$\begin{matrix} v_{2} = 25 \times 15 \times 4 \\ = 1500 \end{matrix}$

Then, the weight of the brick is

$1500 \times 0.0012 kg = 1.8 kg$

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