Question

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

Answer 1

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

Answer 2

`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`