Answer:
d ≈ 10.5
Step-by-step explanation:
The formula for the diagonal of a retangular prism (cuboid) is
1.) Plug in all the values for l, w, and h
2.) simplify by squaring the terms inside the square root
5 * 5 = 25
6 * 6 = 36
7 * 7 = 49
3.) Add the terms
4.) Simplify
5.) Round to one decimal place
d ≈ 10.5
we know that
The area of the hexagon is equal to the sum of the areas of the six equilateral triangles
Let
x-------> area of one equilateral triangle
so
Divide by both sides
-------> area of one equilateral triangle
To find an equivalent expression for the area of the hexagon based on the area of a triangle, multiply the area of one equilateral triangle by
therefore
the answer is
The equivalent expression is equal to