An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One o
f the prisms is shown here.
Find the surface area of the total exhibit.
Find the surface area of the total exhibit.
1 answer:
The surface area of the exhibit is 1,638 cubic inches.
Step-by-step explanation:
Step 1:
If three prisms are out on top of each other we get a shape as follows;
The length of the base inches,
The width of the base inches, and
The height of the exhibit inches.
To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.
Step 2:
There are 6 faces to the exhibit.
The surface area of a rectangular prism is given by;
By substituting the values, we get
The surface area of the exhibit is 1,638 cubic inches.
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Answer:
John work as a security guard job <u>27 hours</u> and as a landscaper <u>33 hours</u>.
Step-by-step explanation:
Given:
John works two jobs.
As a security guard he earns $8.50 per hour and as a landscaper he earns $14 per hour.
One week John worked a total of 60 hours and earned $691.50.
Now, to find hours he work at each job.
Let the job of security guard be hours.
And the job of landscaper be hours.
So, the total hours John worked in a week:
⇒ ............( 1 )
<em>Now, the money earned by John in a week:</em>
<em>Putting the equation ( 1 ) in the place of :</em>
⇒
⇒
<em>Moving variables on one side and the other we get:</em>
⇒
⇒
<em>Dividing both sides by 5.50 we get:</em>
⇒
<u>As a security guard job he worked 27 hours</u><u>.</u>
Putting the value of in equation ( 1 ) we get:
⇒
<u>As a landscaper he worked 33 hours</u>.
Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.