Question

Edge lengths are given in units. Find the surface area of each prism in square units

Answer 1

Answer:

$274\ units^2$

Step-by-step explanation:

Step 1:  Determine the area of top and bottom

$A = l * w$

$A = 13\ units * 4\ units$

$A = 52\ units^2$

Top and bottom gives us (52 units^2 * 2) = 104 units^2

Step 2:  Determine the area of the sides

$A = l * w$

$A = 4\ units * 5\ units$

$A = 20\ units^2$

Sides gives us (20 units^2 * 2) = 40 units^2

Step 3:  Determine the area of the front and back

$A = l * w$

$A = 13\ units * 5\ units$

$A = 65\ units^2$

Ffront and back gives us (65 units^2 * 2) = 130 units^2

Step 4:  Add up the areas to get the total surface area

$104\ units^2 + 40\ units^2 + 130\ units^2$

$274\ units^2$

Answer:  $274\ units^2$

Answer 2

Answer:

274 square units

Step-by-step explanation:

Surface Area of the prism

• SA = 2(base x height) + 2(length x height) + 2(base x length)
• SA = 2(bh + lh + bl)

Here :

1. b = 4
2. h = 5
3. l = 13

Solving

• SA = 2(4 x 5 + 13 x 5 + 4 x 13)
• SA = 2(20 + 65 + 52)
• SA = 2(137)
• SA = 274 square units