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
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?