The area of the regular pentagonal base of this prism is 43.06 square units. What is the volume of this prism?
1 answer:
The Volume of this prism is 148.35 cu.units, Option D is the right answer.
<h3>What is Volume ?</h3>The space occupied by a three dimensional object is called Volume.
Area of the base of the prism is the area of the pentagon
Area of the pentagon is given by
The area is given as 43.06 sq. units
On solving the side of pentagon is 5 units
The volume of the pentagonal prism is given by
V = (5/2)abh
where a is the length of apothem , b is the base length and h is the height
V = (5/2) * 3.44 * 5* 3.45
V = 148.35 cu.units
Therefore the Volume of this prism is 148.35 cu.units , Option D is the right answer.
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Given:
The ratio of the cost of a shirt to the cost of a jacket is 2:5.
The jacket cost $240 more than the shirt.
To find:
The cost of the shirt and the cost of the jacket.
Solution:
Let x be the cost of the shirt.
The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).
The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,
Subtract 2x from both sides.
Divide both sides by 3.
So, the cost of shirt is $160.
Now, the cost of jacket is:
Therefore, the cost of shirt is $160 and the cost of jacket is $400.