Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 72

A rectangular block has dimensions 2.9 $\mathrm{cm} \times 3.5 \mathrm{cm} \times\( 10.0 \)\mathrm{cm} .\( The mass of the block is 615.0 \)\mathrm{g} .$ What are the volume and density of the block?

Short Answer

Expert verified
The volume of the rectangular block is \(101.5 cm^3\), and its density is \(6.06 \frac{g}{cm^3}\).

Step by step solution

01

Find the volume of the block

To find the volume of the block, we can use the formula for the volume of a rectangular prism, which is: \( Volume = Length × Width × Height\) We are given the dimensions of the block as 2.9 cm × 3.5 cm × 10.0 cm. By substituting these values into the formula, we can calculate the volume: \( Volume = 2.9 cm × 3.5 cm × 10.0 cm\)
02

Calculate the volume

Now, we can calculate the volume by multiplying all the given dimensions: \( Volume = 2.9 cm × 3.5 cm × 10.0 cm = 101.5 cm^3\) So, the block has a volume of 101.5 cm³.
03

Find the density of the block

As we know, the formula to find the density is: \( Density = \frac{Mass}{Volume}\) We are given the mass of the block as 615.0 g, and we just calculated the volume to be 101.5 cm³. By substituting these values into the formula, we can calculate the density: \( Density = \frac{615.0 g}{101.5 cm^3}\)
04

Calculate the density

Now, we can calculate the density of the block by dividing the mass by the volume: \( Density = \frac{615.0 g}{101.5 cm^3} = 6.06 \frac{g}{cm^3}\) So, the block has a density of 6.06 g/cm³. In conclusion, the volume of the block is 101.5 cm³, and its density is 6.06 g/cm³.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Which of the following are chemical changes? Which are physical changes? a. the cutting of food b. interaction of food with saliva and digestive enzymes c. proteins being broken down into amino acids d. complex sugars being broken down into simple sugars e. making maple syrup by heating maple sap to remove water through evaporation f. DNA unwinding

A person with high cholesterol has 250 mg of cholesterol per 100.0 mL of blood. If the total blood volume of the person is 5.4 L, what is the total mass (in grams) of cholesterol present in the person’s blood?

The density of osmium (the densest metal) is 22.57 $\mathrm{g} / \mathrm{cm}^{3} .$ If a 1.00 -kg rectangular block of osmium has two dimensions of \(4.00 \mathrm{cm} \times 4.00 \mathrm{cm},\) calculate the third dimension of the block.

Is the density of a gaseous substance larger or smaller than the density of a liquid or a solid at the same temperature? Why?

Is there a difference between a homogeneous mixture of hydrogen and oxygen in a 2;1 ratio and a sample of water vapor? Explain.
See all solutions

Recommended explanations on Chemistry Textbooks

Kinetics

Read Explanation

Ionic and Molecular Compounds

Read Explanation

Inorganic Chemistry

Read Explanation

The Earths Atmosphere

Read Explanation

Physical Chemistry

Read Explanation

Organic Chemistry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free