Answer:
152
Step-by-step explanation:
Hello there!
The prism shown is a triangular prism
There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one
Formula: SA = bh + L(s1 + s2 + s3) (found in the image)
b = base length
h = height
L = length
s1 = (same thing as the base length)
s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)
The triangular prism has the following dimensions
b = 6
h = 4
L = 8
s2 and s3 = 5
Now that we have identified each dimension we plug in the values into the formula
SA = 6*4 + 8(6+5+5)
6*4=24
8*6=48
8*5=40
40*2=80
80+48=128
128 + 24 = 152 so the surface area of the triangular prism is 152 cm²
Answer:
y = 11
Step-by-step explanation:
The answer is a 5 times 2 1/2 times 1 1/2
Answer:
∠ B = 123°, ∠ D = 57°
Step-by-step explanation:
Each lower base angle is supplementary to the upper base angle on the same side.
∠ A and ∠ D are on the same side, then
6x + 12 + 2x + 20 = 180
8x + 32 = 180 ( subtract 32 from both sides )
8x = 148 ( divide both sides by 8 )
x = 18.5
Thus
∠ A = 6x + 12 = 6(18.5) + 12 = 111 + 12 = 123°
∠ D = 2x + 20 = 2(18.5) + 20 = 37 + 20 = 57°
The lower base angles and the upper base angles are congruent, so
∠ B = ∠ A = 123°
∠ C = ∠ D = 57°