Husien is building a rectangular prism. The base of his prism is shown below. The height of his prism is 4 units.
Answers
Answer:
Volume measures how much space an object occupies. Sometimes you might hear questions like "what is the capacity of a box?" or "how much can the box hold?" You can assume that these questions will need a volume to be calculated.
Note: To be totally smart, volume and capacity aren't always the same - think of a box with really thick sides!
Calculating Volume
Volume is measured in cubes (or cubic units).
illustration of a cuboidHow many cubes are in this rectangular prism (cuboid)?
We can count the cubes although it is quicker to take the length, width, and height and use multiplication. The rectangular prism above has an volume of 48 cubic units.
The volume of a rectangular prism is = length x width x height
Examples of calculating the area of a rectangle
We need to do two multiplications to work out the volume. We calculate the area of one face (or side) and multiply that by its height. The examples below show how there are three ways of doing this.
6 x 4 x 2 rectangular prism with top face hightlighted
Area = 6 x 4 = 24
Volume = Area x 2
Volume = 24 x 2 = 48 cubic units
6 x 4 x 2 rectangular prism with front face hightlighted
Area = 6 x 2 = 12
Volume = Area x 4
Volume = 12 x 4 = 48 cubic units
6 x 4 x 2 rectangular prism with side face hightlighted
Area = 4 x 2 = 8
Volume = Area x 6
Volume = 8 x 6 = 48 cubic units
Notice how we get the same answer no matter what side we use to find an area.
When your child starts working with area and perimeter he or she will usually work with 2 dimensions - squares, rectangles, triangles, etc. that are shown on paper as flat - there is no depth, or 3rd dimension. Working with volume does involve 3 dimensions. Ensure your child is aware of this and does not think of the cubes, and other 3D shapes shown on paper as just being another "shape on the page." Show them real boxes, and show how these can be drawn (or represented) on a two dimensional piece of paper. In other words, make sure the connection between what's on paper and what it represents in the real world is made.
Answer:
the Ans Is 36
Step-by-step explanation: