Calculate the surface area in each of the following:
If a litre of paint covers an area of
, how much paint does a painter need to cover:
A rectangular swimming pool with dimensions
, inside walls and floor only.
The inside walls and floor
of a circular reservoir with diameter
and height
Volume
The volume of a right prism is calculated by multiplying the area of the base by the height. So, for a square prism of side length
and height
the volume is
.
Volume of Prisms
Calculate the area of the base and multiply by the height to get the volume of a prism.
Find the surface area and volume for the a square prism of height
and base length,
.
We use the formula for the surface area of a prism:
To find the volume of the prism, we find the area of the base and multiply it by the height:
Write down the formula for each of the following volumes:
Calculate the following volumes:
A cube is a special prism that has all edges equal. This means that each face is a square. An example of a cube is a die. Show that for a cube with side length
, the surface area is
and the volume is
.
Now, what happens to the surface area if one dimension is multiplied by a constant? For example, how does the surface area change when the height of a rectangular prism is divided by 2?
The size of a prism is specified by the length of its sides. The prism in the diagram has sides of lengths
,
and
.
Consider enlarging all sides of the prism by a constant factor
, where
. Calculate the volume and surface area of the enlarged prism as a function of the factor
and the volume of the original volume.
In the same way as above now consider the case, where
. Now calculate the reduction factor in the volume and the surface area.
The volume of a prism is given by:
The surface area of the prism is given by:
If all the sides of the prism get rescaled, the new sides will be:
The new volume will then be given by:
The new surface area of the prism will be given by:
We found above that the new volume is given by:
Since
, the volume of the prism will be increased by a factor of
.
The surface area of the rescaled prism was given by:
Again, since
, the surface area will be increased by a factor of
. Surface areas which are two dimensional increase with the square of the factor while volumes, which are three dimensional, increase with the cube of the factor.
The answer here is based on the same ideas as above.
In analogy, since here
, the volume will be reduced by a factor of
and the surface area will be decreased by a factor of
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills