I'm assuming you want the total surface area.
This is a trapezoidal prism. The bases are the parallel faces running horizontal (parallel to the ground) and they are congruent trapezoids. The lateral sides are rectangles.
-------------------------------------------------
Lateral Faces:
The back face (hidden from view) is a rectangle that is 12 inches by 3 inches, so it has an area of 12*3 = 36 sq inches
The front slant faces on the left and right are each 3*5 = 15 sq inches in area
The front center lateral face has area of 6*3 = 18 sq inches
The total lateral surface area is 15+18+15+36 = 84 sq inches
-------------------------------------------------
The bases are each the same trapezoid. The trapezoid has two parallel sides of 12 and 6 inches. Call this b1 and b2. The height of the trapezoid is h = 4. Imagine the trapezoid is laid flat in a 2D perspective instead of a 3D one.
The area of one trapezoid is...
A = h*(b1+b2)/2
A = 4*(12+6)/2
A = 4*(18)/2
A = 72/2
A = 36
So the area of both base faces combined is 2*36 = 72
-------------------------------------------------
The total surface area is then found by adding the total lateral surface area (84) and the total base area (72) to get 84+72 = 156
Final Answer: 156 square inches
Answer: F
Step-by-step explanation:
A square is always positive:
We first need to find f(3).
f(3) = 2(3) + 8
f(3) = 6 + 8
f(3) = 14
We now want g(f(3)).
We know that f(3) is 14.
We also know that g(x) is 5.
As you know, 5 is a constant. No matter what the value of x is for g(x), it will not change the value of g(x).
So, g(f(3)) = g(14) = 5.
Answer: g(f(3)) = 5.
Answer:
the slope or gradient is 8/2=4
Answer:
he should get $16.20 back
Step-by-step explanation:
