This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
Answer:
A
Step-by-step explanation:
perimeter of the base...
Cheating in 2019 the wave
Step-by-step explanation:
Given:
The expression is
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To find:
The equivalent expression.
Solution:
Distributive property of multiplication over addition is
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Where, a, b and c are real numbers.
We have,
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Using distributive property, we get
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Therefore, the expression
is equivalent to the given expression.