The given figure is a regular hexagon with side length 12 and radius 10. Find the length of the apothem a. Question 16 options:
A) 15.6 B) 8 C) 12 D) 9
2 answers:
Answer:
the length of the apothem is 8, option B
Step-by-step explanation:
given:
a regular hexagon with side length 12 and radius 10.
find;
the length of the apothem
referring to the attached image,
to get the length of the apothem, use the Pythagorean theorem.
a² + b² = c²
let a = 6, b = apothem, c = 10
plugin values into the formula
6² + b² = 10²
b² = 10² - 6²
b =
b =
b = 8
therefore,
the length of the apothem is 8, option B
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The height of crate is 3 feet
<em><u>Solution:</u></em>
Given that Summer Dave builds a crate to hold vegetables
Volume of crate = 48 cubic feet
Base area of crate = 16 square feet
To find: height of crate
The crate is of shape cuboid
The volume of cuboid is given as:
We know that,
Therefore, volume becomes,
Substituting the given values we get,
Thus height of crate is 3 feet