# Volume Word Problems

#### Grade 6 Math Worksheets

If you’re studying mathematics, you’re likely to come across a range of word problems that involve volume calculations. Whether you’re working on geometry, physics, or engineering problems, understanding how to calculate the volume of shapes like boxes, cylinders, and spheres is essential.

## Volume Word Problems - Grade 6 Math Worksheet PDF

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In this article, we’ll take a look at some volume word problems and their solutions. From calculating the volume of a rectangular box to a sphere with a given radius, we’ll show you how to approach these types of problems and give you step-by-step solutions.

Here are some volume word problems and their solutions.

1. A box has a length of 5 units, a width of 4 units, and a height of 3 units. What is the volume of the box?

Solution: The volume of the box can be calculated by multiplying its length, width, and height: 5 units * 4 units * 3 units = 60 cubic units.

Example:

You have a rectangular box that is 5 inches long, 4 inches wide, and 3 inches tall. What is the volume of the box?

Solution: The volume of the box can be calculated as 5 inches * 4 inches * 3 inches = 60 cubic inches.

2. A cylinder has a radius of 3 units and a height of 4 units. What is the volume of the cylinder?

Solution: The volume of the cylinder can be calculated using the formula: π * r^2 * h, where r is the radius and h is the height.

So, the volume of the cylinder can be calculated as π * 3^2 * 4 = 36π cubic units.

Example:

You have a cylinder with a radius of 2 feet and a height of 5 feet. What is the volume of the cylinder?

Solution: The volume of the cylinder can be calculated as π * 2^2 * 5 = 20π cubic feet.

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A sphere has a radius of 4 units. What is the volume of the sphere?

Solution: The volume of the sphere can be calculated using the formula: (4/3) * π * r^3, where r is the radius.

So, the volume of the sphere can be calculated as (4/3) * π * 4^3 = (4/3) * π * 64 = 256π/3 cubic units.

Example:

You have a sphere with a radius of 3 inches. What is the volume of the sphere?

Solution: The volume of the sphere can be calculated as (4/3) * π * 3^3 = (4/3) * π * 27 = 36π cubic inches.

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**Gloria Mathew** writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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