The surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²? What is the scale factor of the smaller
1 answer:
Answer:
scale factor of the smaller prism to the larger prism is B. 21/23
Step-by-step explanation:
Given
surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?
scale factor is ratio of sides of two similar objects
thus scale factor for given prism will be = side of smaller prism / side of larger prism
in general rule
If shape of solid has scale factor of k
scale factor of area = k²
scale factor of volume = k³
_____________________________
Given in the problem area of two prism is given
we know area = side^2
scale factor of area = k²
k^2 = area of smaller prism / area of larger prism
Thus, correct option is B 21/23.
You might be interested in
Answer:
m∠ABC = 119° and DC = 105 feet
Step-by-step explanation:
For better understanding of the solution see the attached figure of the trapezium ABCD :
m∠BCD = 61°
By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°
⇒ m∠ABC = 180° - 61°
⇒ m∠ABC = 119°
Now, to find length of DC,
Draw a perpendicular BE on CD ⇒ CD = DE + EC
AB = DE
⇒ DE = 80 feet
In ΔBEC, By using Pythagoras theorem
EC² = BC² - BE²
⇒ EC² = 65² - 60²
⇒ EC = 25 feet
Hence, DC = 80 + 25
= 105 feet
