Can you convert volume to area?

Publish date: 2022-01-18

Converting volume is done in exactly the same way as converting area. The only major difference you need to remember is that volume is a 3 dimensional measurement, so we use cube units cm3. To calculate the area of 1m3 in cm3 the equations is therefore 100cm x 100cm x 100cm = 1,000,000cm3.

Subsequently, How do you convert volume?

You can use the formula for the volume of a prism, V=bwh , to convert cubic units. Since 1 foot = 12 inches, replace b , w , and h with 12 . So, 1 cubic foot is equal to 1,728 cubic inches.

Then, What is the formula of volume?

Perimeter, Area, and Volume

Table 3. Volume Formulas
ShapeFormulaVariables
CubeV=s3s is the length of the side.
Right Rectangular Prism
V=LWH
L is the length, W is the width and H is the height.
Prism or CylinderV=AhA is the area of the base, h is the height.

Keeping this in consideration, What is the difference between area and volume? The area is the measurement of the region covered by any two-dimensional geometric shapes. The volume is the space occupied by the three-dimensional object. Volume is measured for 3D(solid) figures. The area is measured in two dimensions i.e length and breadth.

How do you divide volume?

The formula for the volume of a solid rectangle is width x depth x height. Divide the volume by the product of the length and width to calculate the height of a rectangular object. For this example, the rectangular object has a length of 20, a width of 10 and a volume of 6,000.

20 Related Questions Answers Found

Is volume and capacity the same?

Volume and capacity are properties of three-dimensional objects. Volume is the space that a three-dimensional object occupies or contains; capacity, on the other hand, is the property of a container and describes how much a container can hold.

What is volume and capacity?

Volume and capacity is the measure of the amount of space inside of a solid object, such as a cube, ball, cylinder or pyramid. It is measured in cubic units.

How do I calculate water volume?

Multiply length (L) by width (W) to get area (A). Multiply area by height (H) to get volume (V). Multiply volume by 7.48 gallons per cubic foot to get capacity (C). Find the capacity in gallons of a horizontal circular tank that has a diameter of 8 ft and is 12 ft long.

What is volume of shape?

Volume is the amount of space a 3D shape takes up. You can work out the volume of a shape by multiplying height × width × depth. … If the shape is made of cubic cm blocks, you can count the cubes to find the shape’s volume.

What are examples of volume?


Volume Examples

What is the volume of a 3D shape?

Volume of a prism = cross-sectional area × length. The surface area of a 3D shape is the total area of all its faces. × area of base × vertical height. Example 1 The triangular prism has volume 504 cm3.

Can anything have area without having volume?

No. A sphere has the smallest surface-area-to-volume ratio of all solids, so there can be no such shape. In 3 dimensions, with the usual meanings of volume and surface area (no hyper stuff), and no infinite volumes allowed, this is impossible.

What is perimeter area and volume?

The perimeter of a shape represents the distance around it, the area of a shape is the surface or flat space that the shape covers (in 2D) while the volume of a shape is the space it occupies in real life (in 3D).

What is difference between mass and volume?

Mass is how much stuff something is made of. Volume is how much space an object takes up.

How do you calculate the volume of a shape?

Volume is the amount of space a 3D shape takes up.

This is written as 1 cm³. You can work out the volume of a shape by multiplying height × width × depth.

How do you teach volume?


Here are my tried and true tips for teaching volume.

  • Review Area Concepts. Before tackling volume it is important to make sure that students understand the concept of area. …
  • Define Volume. …
  • Hands-On Practice with Non-Standard Units. …
  • Model. …
  • Practice, Practice, Practice.
  • Is capacity a volume?

    Volume is the total amount of space that is covered by an object. Capacity is the ability of an object to contain a substance that is either solid, liquid, or gas. … Volume is measured in cubic units like cubic centimeter and cubic meter. Capacity is measured in metric units like liters, gallons, etc.

    How do I figure out volume?

    Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

    What are three units of volume?


    Three common units of volume are:

    Why do we use volume?

    Finding the volume of an object can help us to determine the amount required to fill that object, like the amount of water needed to fill a bottle, an aquarium or a water tank. The volume of an object is measured in cubic units such as cubic centimeters, cubic inch, cubic foot, cubic meter, etc.

    What is the volume of a gallon of water?

    The US liquid gallon (frequently called simply “gallon”) is legally defined as 231 cubic inches, which is exactly 3.785411784 litres.

    What is water volume?

    The mass of water is expressed in grams (g) or kilograms (kg), and the volume is measured in liters (L), cubic centimeters (cm3), or milliliters (mL). Density is calculated by the dividing the mass by the volume, so that density is measured as units of mass/volume, often g/mL.

    What is the volume of 1 Litre of water?

    1 liter is the volume of a cube that is 10 cm (1 decimeter) on each side (see distance units). There are 10 deciliters = 1,000 milliliters = 1,000 cubic centimeters = 1.057 quarts = 33.814 ounces in a liter. Because water has a density of 1.0, one liter of water weighs 1,000 grams = 1 kilogram.

    What is a fact about volume?

    The volume of an object is a measure of the amount of space occupied by that object, and is not to be confused with mass. The volume of a mountain is much larger than the volume of a rock, for instance. … The width (or breadth) refers to the size of the object in a direction perpendicular to its length.

    What’s the difference between volume and shape?

    Shape refers to an area in a two-dimensional space that is defined by edges; volume is three-dimensional, exhibiting height, width, and depth.

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