Table of Contents
Exercise 9.5 class 8 solution-Introduction
Welcome to our website, your one-stop destination for free mathematics solutions for Class 8!students can easily download Exercise 9.5 class 8 solution pdf here as well as other chapter solution pdfs.
We understand that the journey through mathematics can be both exciting and challenging for students at this crucial stage of their academic growth. That’s why we’re here to offer comprehensive solutions that simplify complex concepts, provide step-by-step guidance, and build confidence in tackling mathematical problems.
Our mission is to empower Class 8 students with the knowledge and resources they need to excel in mathematics. Whether you’re seeking assistance with algebra, geometry, or any other math topic, our carefully crafted solutions are designed to make learning engaging and accessible.
With our free solutions, we aim to bridge the gap between classroom learning and independent study, providing a valuable resource for students, parents, and educators alike. We believe that a strong foundation in mathematics is key to success in school and beyond, and we’re dedicated to helping you achieve that success.So, dive into our website, explore our wealth of Class 8 math solutions, and embark on a journey of mathematical discovery and growth. We’re here to support your academic endeavors every step of the way. Let’s make math not just a subject to study but a skill to master!
Exercise 9.5 class 8 solution-Volume of cuboid ,cube and cylinder
Here are the formulas for calculating the volume of a cuboid, a cube, and a cylinder:
- Volume of a Cuboid: The volume of a cuboid can be calculated using the formula:Volume = Length (L) × Width (W) × Height (H)
- Volume of a Cube: The volume of a cube can be calculated by the formula:Volume = Side Length (S)³
- Volume of a Cylinder: The volume of a cylinder can be calculated using the formula:Volume = πr²hWhere:
- ‘r’ is the radius of the circular base.
- ‘h’ is the height of the cylinder.
You can use these formulas to find the volume of a cuboid, a cube, or a cylinder, provided you have the necessary dimensions (length, width, height, side length, radius, and height). Simply plug in the values into the respective formulas to calculate the volume.
EXAMPLE 9.5.1 Find the volume of the cube having side 2.5 cm
EXAMPLE 9.5.2 A cuboid of dimension 60cm*54cm*30cm.how many small cubes of side 6cm can be placed in the given cuboid ?
Exercise 9.5 class 8 solution- Difference between volume and capacity
Volume and capacity are related concepts often used in the context of measuring the amount of space occupied by an object or the amount of substance something can hold. However, they have different applications and units of measurement:
- Volume is a measurement of the three-dimensional space occupied by an object or substance.
- It is typically measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³), depending on the scale of measurement.
- Volume is used to describe the physical dimensions of solids, liquids, or gases.
- For example, the volume of a cube is calculated by multiplying its length, width, and height (Volume = Length × Width × Height).
- Capacity is a measure of how much substance, typically a liquid or gas, a container or vessel can hold.
- It is often measured in units like liters (L) or milliliters (mL) for liquids and cubic centimeters (cm³) for gases.
- Capacity is commonly used when describing the size of containers, bottles, tanks, or any vessel designed to hold a specific quantity of material.
- For example, the capacity of a water bottle might be 500 milliliters (500 mL), which means it can hold 500 milliliters of liquid.
In summary, volume is a measure of the amount of space occupied by an object, while capacity refers to the amount of substance a container can hold. The two concepts are closely related, but the choice of terms and units depends on the context and the nature of the material being measured.
EXAMPLE 9.5.3 A milk tank is in the form of a cylinder whose radius is 1.5m and length is 7m. find the quantity of milk in litres that can be stored in the tank ?
Exercise 9.5 class 8 solution-Relation between cm and litres
The relationship between cubic centimeters (cm³) and liters (L) is based on the metric system of measurement. The liter is a unit of volume within the metric system, and the cubic centimeter is a sub unit of volume, often used for precise measurements. Here’s the conversion between the two:
1 liter (L) is equivalent to 1,000 cubic centimeters (cm³).
In other words, 1 liter contains 1,000 cubic centimeters.
- 2 liters = 2,000 cubic centimeters (2 L × 1,000 cm³/L)
- 500 cubic centimeters = 0.5 liters (500 cm³ ÷ 1,000 cm³/L)
Volume in liters (L) = Volume in cubic centimeters (cm³) / 1,000
For example, if you have a volume of 3,000 cubic centimeters, you can convert it to liters as follows:
Volume in liters (L) = 3,000 cm³ / 1,000 = 3 liters (L)
Exercise 9.5 class 8 solution- exercise preview
Our Exercise 9.5 Preview is designed to give you a taste of what’s in store. You’ll find a selection of math problems and questions that challenge your analytical and problem-solving skills. It’s a glimpse into the wonderful world of math exercises that will not only sharpen your mathematical prowess but also help you build the confidence you need to excel in your Class 8 studies.
Exercise 9.5 class 8 solution- solution pdf
We understand that sometimes math can be a puzzle, and that’s where we come in. Our user-friendly platform offers you the convenience of accessing Exercise 9.5 class 8 solutions in just a few clicks. No more flipping through textbooks or endless internet searches—your math solutions are right here, waiting for you.
These downloadable resources are designed to simplify complex concepts, provide clear step-by-step explanations, and boost your confidence in solving math problems. We believe that learning mathematics should be accessible and enjoyable, and we’re committed to making it so.
So, get ready to unlock the world of mathematics and explore Exercise 9.5 class 8 solutions that will help you not only in your exams but also in building a strong foundation for future mathematical adventures. Click, download, and excel in math! Your math journey is about to get a whole lot easier.9.5