Find The Side Of A Cube Whose Volume Is 1000 Cubic Cm? Step By Step. (class 8) (Best Answer Will Be Marked As Brainliest)

Mar 8, 2025 by ADMIN 123 views

Find the Side of a Cube Whose Volume is 1000 Cubic Cm? Step by Step (Class 8)

Introduction

In this article, we will learn how to find the side of a cube when its volume is given. The volume of a cube is calculated by cubing the length of its side. We will use this concept to find the side of a cube with a volume of 1000 cubic cm.

What is a Cube?

A cube is a three-dimensional solid object with six square faces, each of which is a square. All the sides of a cube are equal in length. The volume of a cube is calculated by cubing the length of its side.

Formula for the Volume of a Cube

The formula for the volume of a cube is:

V = s^3

Where V is the volume of the cube and s is the length of its side.

Step 1: Understand the Given Information

We are given that the volume of the cube is 1000 cubic cm. We need to find the length of its side.

Step 2: Use the Formula to Find the Side

We can use the formula V = s^3 to find the side of the cube. We will substitute the given volume (1000 cubic cm) into the formula and solve for s.

1000 = s^3

Step 3: Solve for s

To solve for s, we need to take the cube root of both sides of the equation.

s = ∛1000

Step 4: Calculate the Cube Root

The cube root of 1000 is 10.

s = 10

Conclusion

Therefore, the side of the cube whose volume is 1000 cubic cm is 10 cm.

Real-World Applications

This concept is used in various real-world applications, such as:

Architecture: Architects use the concept of volume and surface area to design buildings and structures.
Engineering: Engineers use the concept of volume and surface area to design machines and mechanisms.
Science: Scientists use the concept of volume and surface area to study the properties of materials and substances.

Practice Problems

Try these practice problems to test your understanding of the concept:

Find the side of a cube whose volume is 500 cubic cm.
Find the side of a cube whose volume is 2000 cubic cm.

Tips and Tricks

Always use the correct formula to calculate the volume of a cube.
Make sure to substitute the correct values into the formula.
Use the cube root to solve for the side of the cube.

Frequently Asked Questions

Q: What is the formula for the volume of a cube? A: The formula for the volume of a cube is V = s^3.
Q: How do I find the side of a cube when its volume is given? A: You can use the formula V = s^3 to find the side of the cube.
Q: What is the side of a cube whose volume is 1000 cubic cm? A: The side of a cube whose volume is 1000 cubic cm is 10 cm.

References

[1] Khan Academy. (n.d.). Volume of a Cube. Retrieved from https://www.khanacademy.org/math/geometry/volume-of-a-cube
[2] Math Open Reference. (n.d.). Volume of a Cube. Retrieved from https://www.mathopenref.com/cubevolume.html

Brainliest Answer

The side of a cube whose volume is 1000 cubic cm is 10 cm.

Introduction

In our previous article, we learned how to find the side of a cube when its volume is given. We used the formula V = s^3 to find the side of a cube with a volume of 1000 cubic cm. In this article, we will answer some frequently asked questions related to finding the side of a cube.

Q&A

Q: What is the formula for the volume of a cube?

A: The formula for the volume of a cube is V = s^3, where V is the volume of the cube and s is the length of its side.

Q: How do I find the side of a cube when its volume is given?

A: You can use the formula V = s^3 to find the side of the cube. Simply substitute the given volume into the formula and solve for s.

Q: What is the side of a cube whose volume is 1000 cubic cm?

A: The side of a cube whose volume is 1000 cubic cm is 10 cm.

Q: How do I calculate the cube root of a number?

A: To calculate the cube root of a number, you can use a calculator or a mathematical formula. The cube root of a number x is denoted by ∛x.

Q: What is the difference between the volume and surface area of a cube?

A: The volume of a cube is the amount of space inside the cube, while the surface area of a cube is the total area of its six square faces.

Q: How do I find the surface area of a cube?

A: To find the surface area of a cube, you need to find the area of one of its square faces and multiply it by 6.

Q: What is the formula for the surface area of a cube?

A: The formula for the surface area of a cube is A = 6s^2, where A is the surface area of the cube and s is the length of its side.

Q: How do I find the side of a cube when its surface area is given?

A: You can use the formula A = 6s^2 to find the side of the cube. Simply substitute the given surface area into the formula and solve for s.

Q: What is the side of a cube whose surface area is 600 square cm?

A: To find the side of a cube whose surface area is 600 square cm, you need to use the formula A = 6s^2 and solve for s.

Step 1: Substitute the given surface area into the formula

600 = 6s^2

Step 2: Divide both sides of the equation by 6

100 = s^2

Step 3: Take the square root of both sides of the equation

s = √100

Step 4: Simplify the square root