Find the total surface area of the following prism:
5 cm
4/cm
5 cm
8 cm
6 cm
SA = [ ? 1 cm2
please helppp, ill mark brainlist

The total surface area of the given prism is 152 square centimeters.

Step-by-step explanation:

The total surface area is given by:

Where:

: is the area of the triangle of the prism (it has 2 triangles)

: is the area of the lateral rectangle of the prism (it has 2)

: is the area of the rectangle base of the prism (it has 1)

The area of the triangle is:

Where:

b: is the triangle base = 6 cm

h: is the traingle height = 4 cm

The area of the lateral rectangle of the prism is:

Now, the area of the rectangle base is:

Finally, the total surface area is:

Therefore, the total surface area of the given prism is 152 square centimeters.

I hope it helps you!              

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!