Answer:
80/729
Step-by-step explanation:
8/18x8/18x10/18=640/5832
80/729
The expression representing the volume of the prism is given as:
Volume=[base area]*[height]
base area is the area of the pentagon;
The area of pentagon is given by:
Area of pentagon=a^2ntan(180/n)
a=apothem length
n=number of sides
Area=2.8^2*5tan(180/5)
Area=28.48=28.5 cm^2
Therefore the expression for the volume of the prism with height,h, will be:
volume=28.5h cm^3
Answer:
Could be wrong but my answer would be none because the angles in a triangle have to add to 180 degrees
Step-by-step explanation:
Nine different cones can be made with these three flavor combinations.
<h3>Answer:</h3>
15.36 cm
<h3>Explanation:</h3>
The Pythagorean theorem tells you ...
... AC² = AB² + BC² . . . . . relation for face diagonal
... AD² = AC² + CD² . . . . . relation for space diagonal
Subsituting the expression for AC² given by the first equation, the second equaiton becomes ...
... AD² = AB² + BC² + CD²
... AD² = (100 cm²) + (100 cm²) + (36 cm²) = 236 cm²
Taking the square root, we have ...
... AD = √236 cm = 2√59 cm
... AD ≈ 15.36 cm