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

Edge lengths are given in units. Find the surface area of each prism in square units-example-1
User Tienph
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2 Answers

20 votes
20 votes

Answer:

274 square units

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
User Kudeh
by
2.7k points
9 votes
9 votes

Answer:


274\ units^2

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

User Matt Turner
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