Volume Word Problems Worksheets

How to Find the Volume of Basic Shapes - In geometry, we need to figure out the volume, surface area, and perimeter of the shapes. There are a number of shapes in geometry; each shape has a specific formula for perimeter, surface area, and volume. We should follow those formulae to find out the specific measurement of the shape. Here we are going to discuss the formulae of finding the volume of some of the geometric shapes. Volume of the Sphere - A sphere is a three-dimensional shape. To find out the surface area or volume of the sphere, we need to know the radius of the sphere. The radius of the sphere is the distance from the center to the edge of the sphere. The radius remains the same no matter from which point on a sphere is considered. Once we know the radius, we use the following formula to find out the volume of the sphere. Volume = 4/3 πr2. Volume of the Cone - A cone is defined as the pyramid that features a circular base with sloping sides, all meeting at the central point. For calculating the volume of the cone, we need to know the radius of length and base of the side. Volume = 1/3 π2h. Volume of the Cylinder - A cylinder is a shape that features a circular base and parallel sides. For calculating the volume of the cylinder, we need to know the height and radius of the cylinder. Volume = πr2h.

  • Basic Lesson

    Demonstrates how to outline Volume Word Problems. Example: Find the volume of cube with 7 cm sides. Volume of cube = (side)3

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  • Intermediate Lesson

    Uses slightly larger sentences and numbers than the basic lesson. Example: Find the volume of sphere of radius of 21 inches. Volume of sphere = 4/3 × π × r3

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  • Independent Practice 1

    Contains a series of 20 volume Word Problems. The answers can be found below. Example: A large cylindrical can is to be designed from a rectangular piece of aluminum that is 25 inches long and 10 inches high by rolling the metal horizontally. Determine the volume of the cylinder.

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  • Independent Practice 2

    Features 20 word problems. Example: The dimensions of a chamber are 11 ft by 9 ft by 9 ft. The chamber is thought to have been used for storing ammunition had dimensions of 1 ft by 1 ft by 3 ft. What is the maximum number of ammunition boxes of that size that could be put in the underground chamber?

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  • Homework Worksheet

    10 word problems for students to work on at home. An example problem is provided and explained. Example: Suppose a swimming pool in the shape of a hemisphere is 28m wide. How much water can the pool hold? Round your answers to one decimal place.

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  • Skill Quiz

    10 volume based Word Problems. A math scoring matrix is included. Example: What is the volume of a regular cylinder whose base has radius of 16 cm and has height of 35 cm?

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  • Homework and Quiz Answer Key

    Answers for the homework and quiz.

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  • Answer Key

    Answers for the lesson and practice sheets.

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Find Their Volume....

A mathematician, a physicist, and an engineer are all given identical rubber balls and told to find the volume. They are given anything they want to measure it, and have all the time they need. The mathematician pulls out a measuring tape and records the circumference. He then divides by two times pi to get the radius, cubes that, multiplies by pi again, and then multiplies by four-thirds and thereby calculates the volume. The physicist gets a bucket of water, places 1.00000 gallons of water in the bucket, drops in the ball, and measures the displacement to six significant figures. And the engineer? He writes down the serial number of the ball, and looks it up.