Answer:
Part 1) The lateral area is
Part 2) The surface area is
so
lateral area = 210 cm2; surface area = 325.5 cm2
Step-by-step explanation:
Part 1) Find the lateral area of the regular hexagonal pyramid
The lateral area is equal to the area of its six triangular faces
so
we have
substitute
Part 2) Find the surface area of the regular hexagonal pyramid
The surface area is equal to the lateral area plus the area of the hexagonal base
so
where
B is the area of the hexagonal base
Find the area of the hexagonal base
The area of the regular hexagon is equal to the area of six equilateral triangles
we have
substitute
The surface area is equal to
Solve by using the formula: c² - b² = a²
c = hypotenuse, b = leg, a = a
Plug in:
(√73)² - (8)² = a²
Simplify.
73 - 64 = a²
9 = a²
Isolate the a. Root both sides
√a² = √9
a = √9
a = √9 = √(3 * 3)
a = 3
3 ft is your answer
hope this helps
Answer:
21.375.
Step-by-step explanation:
The mean of an equation is the sum of all total numbers in the set divided by the total numbers in the set.
32 + 25 + 25 + 32 + 32 + 10 + -10 + 25 = 171.
171/8 = 21.375
Answer:
B
Step-by-step explanation:
This is pretty easy because you'll only have one variable.
First draw a box and label your width as 12 cm, your length as 2w (because it is twice the length of the width), and your height as 2w+10(beacuse it twice the width{2w} plus 10cm)
Then, substitute 'w' for the widths measurement(12)
So, 2w becomes 2 x 12 or 24cm and 2w+10 becomes (2 x 12) +10 or 24+10 which is 34 cm
then just simply use the volume formula of a box which is V=lwh or length x width x height, so its 12 x 24 x 34 which equals 9,792 cm^3