Search results
People also ask
How do you measure the volume of an object?
How do you find the volume of a box?
What is a volume formula?
How do you find the volume of a circle?
Apr 18, 2024 · To find the volume of a box, simply multiply length, width, and height — and you're good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters. For dimensions that are relatively small whole numbers, calculating volume by hand is easy.
- Cylinder Volume
If you have the volume and radius of the cylinder:. Make...
- Cone Volume Calculator
To calculate the volume of a cone, follow these...
- Tank Volume Calculator
To calculate the partially filled tank, just add together...
- Volume Conversion
To convert the volume in the metric system, follow these...
- Cylinder Volume
- Overview
- Calculating the Volume of a Cube
- Calculating the Volume of a Rectangular Prism
- Calculating the Volume of a Cylinder
- Calculating the Volume of a Regular Square Pyramid
- Calculating the Volume of a Cone
- Calculating the Volume of a Sphere
- Worksheet and Practice Problems
The volume of a shape is the measure of how much three-dimensional space that shape takes up.
You can also think of the volume of a shape as how much water (or air, or sand, etc.) the shape could hold if it was filled completely. Common units of volume include cubic centimeters (cm
), and cubic feet (ft
This article will teach you how to calculate the volume of six different three-dimensional shapes that are commonly found on math tests, including cubes, spheres, and cones. You might notice that a lot of the volume formulas share similarities that can make them easier to remember. See if you can spot them along the way!
A cube is a three-dimensional shape that has six identical square faces.
In other words, it is a box shape with equal sides all around.
A 6-sided die is a good example of a cube you might find in your house. Sugar cubes, and children's letter blocks are also usually cubes.
Learn the formula for the volume of a cube.
Since all of the side lengths of a cube are the same, the formula for the volume of a cube is really easy. It is V = s
where V stands for volume, and s is the length of the sides of the cube.
A rectangular solid, also known as a rectangular prism, is a three-dimensional shape with six sides that are all rectangles.
In other words, a rectangular solid is simply a three-dimensional rectangle, or box shape.
A cube is really just a special rectangular solid in which the sides of all of the rectangles are equal.
Learn the formula for calculating the volume of a rectangular solid.
The formula for the volume of a rectangular solid is Volume = length * width * height, or V = lwh.
Find the length of the rectangular solid.
Learn to identify a cylinder.
A cylinder is a three-dimensional shape that has two identical flat ends that are circular in shape, and a single curved side that connects them.
A can is a good example of a cylinder, so is a AA or AAA battery.
Memorize the formula for the volume of a cylinder.
To calculate the volume of a cylinder, you must know its height and the radius of the circular base (the distance from the center of the circle to its edge) at the top and bottom. The formula is V = πr
h, where V is the Volume, r is the radius of the circular base, h is the height, and π is the constant pi.
Understand what a regular pyramid is.
A pyramid is a three-dimensional shape with a polygon for a base, and lateral faces that taper at an apex (the point of the pyramid).
A regular pyramid is a pyramid in which the base of the pyramid is a regular polygon, meaning that all of the sides of the polygon are equal in length, and all of the angles are equal in measure.
We most commonly imagine a pyramid as having a square base, and sides that taper up to a single point, but the base of a pyramid can actually have 5, 6, or even 100 sides!
A pyramid with a circular base is called a cone, which will be discussed in the next method.
Learn the formula for the volume of a regular pyramid.
Learn the properties of a cone.
A cone is a 3-dimesional solid that has a circular base and a single vertex (the point of the cone). Another way to think of this is that a cone is a special pyramid that has a circular base.
If the vertex of the cone is directly above the center of the circular base, the cone is called a "right cone". If it is not directly over the center, the cone is called an "oblique cone." Fortunately, the formula for calculating the area of a cone is the same whether it is right or oblique.
Know the formula for calculating the volume of a cone.
The formula is V = 1/3πr
h, where r is the radius of the circular base of the cone, h is the height of the cone, and π is the constant pi, which can be rounded to 3.14.
A sphere is a perfectly round three-dimensional object, in which every point on the surface is an equal distance from the center. In other words, a sphere is a ball-shaped object.
Learn the formula for the volume of a sphere.
The formula for the volume of a sphere is V = 4/3πr
(stated: "four-thirds times pi r-cubed") where r is the radius of the sphere, and π is the constant pi (3.14).
Find the radius of the sphere.
If the radius is given in the diagram, then finding r is simply a matter of locating it. If the diameter is given, you must divide this number by 2 to find the radius. For example, the radius of the sphere in the diagram is 3 inches.
Worksheet and Practice Problems to Calculate Volume
How do you find the volume of a box?
Math Instructor, City College of San Francisco
The volume of a box is equal to the product of the three dimensions of the box. You would multiply the length, the width, and the height of the box to find its volume. Make sure the dimensions have the same unit. Some tricky questions give different units for each dimension.
Thanks! We're glad this was helpful.
Thank you for your feedback.
- 1.5M
To calculate the volume of an object in three dimensions, you can use the various volume formulas. Cube. \text { Volume }=a^3 Volume = a3. Rectangular prism. \text {Volume}=l\times w\times h Volume = l ×w× h. Prism. \text {Volume}=\text {Area of base} \times \text {Length} Volume = Area of base× Length. Cylinder.
Volume of a cube = a 3 , where 'a' is edge of the cube. Volume of a cylinder = π r 2 h; where 'r' is radius of the base of the cylinder and 'h' is the height of the cylinder. Volume of a cone = 1/3 π r² h, here, 'r' is radius of the circular base of the cone and 'h' is the height of the cone.
Volume formulas review. Google Classroom. Review the formulas for the volume of prisms, cylinders, pyramids, cones, and spheres. It may seem at first like there are lots of volume formulas, but many of the formulas share a common structure. Prisms and prism-like figures. Volume prism = ( base area) ⋅ ( height)
- Why is the Volume of sphere is divided by 3?This is a really good video that I found: https://www.youtube.com/watch?v=xuPl_8o_j7k It explains the formula with simple geometry and algebra, and...
- who found the proof to the volume of sphere? better question, how?Click on the line of text under the section "Volume of a Sphere" that reads: "Where does this formula come from?" It gives a, in my opinion, somewh...
- Will all the volume formulas be available on the math sheet at the SAT?prob not lmao
- When using the pi symbol in calculations, the answer comes out differently than if you just use 3.14...3.14 is a simplified version of the real value of pi: 3.141592653589793238462643383279502884197169399375105820974944592307816406286 http://www.geom...
- how can I find volume of a tetrahedronA tetrahedron is just a triangular pyramid. If any pyramid has height h and a base of area b, then it's volume is bh/3.
- 01101001 00100000 01101100 01101111 01110110 01100101 00100000 01101101 01100001 01111000 00100000 0...01010111 01101000 01101111 00100111 01110011 00100000 01110100 01101000 01100001 01110100 00111111
- What would be the difference between a triangular prism and a pyramid?A prism has the base that goes through the whole figure, so a triangular prism will have two congruent bases that are a triangle. A triangular pyra...
- When we need to use the value of pi to find the area of a circle for part of the problem, which numb...pi = 3.14156... 3.14 22/7 = 3.1428... So 3.14 will give a slightly underestimate it, and 22/7 will slightly overestimate it. The 15 in the thousand...
- if a square is writen X^2 how is a cube writenA number cubed, or in this case x, is written as x³, or x^3.
- What would be the equation to find the volume for a trapezoid prism?Any prism volume is V = BH where B is area of base and H is height of prism, so find area of the base by B = 1/2 h(b1+b2), then multiply by the hei...
Volume intro. Google Classroom. About. Transcript. Finding volume, length, and area all involve measuring dimensions in order to quantify a certain aspect of an object or space.
- 8 min
- Sal Khan
Quiz. Unit test. About this unit. Volume and surface area help us measure the size of 3D objects. We’ll start with the volume and surface area of rectangular prisms. From there, we’ll tackle trickier objects, such as cones and spheres. Volume with unit cubes. Learn. Volume intro. Measuring volume with unit cubes. Volume formula intuition. Practice.
