Respuesta :

Answer:

[tex]A = 66\ yd^2[/tex]

Step-by-step explanation:

You can either add up all the areas of the faces of the rectangular prism, or you can use the following formula:

[tex]A = 2(wl+hl+hw)\\A = 2(3 \times 3 + 4 \times 3 + 4 \times 3)\\A = 2(9+12+12)\\A = 2(33)\\A = 66[/tex]

Answer:

The surface area of the rectangular prism is [tex]66\ yd^2[/tex]

Step-by-step explanation:

Step 1:  Find the area of the front and back

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 4\ yd[/tex]

[tex]A = 12\ yd^2 * 2[/tex]

[tex]A = 24\ yd^2[/tex]

Step 2:  Find the area of the top and bottom

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 3\ yd[/tex]

[tex]A = 9\ yd^2 * 2[/tex]

[tex]A = 18\ yd^2[/tex]

Step 3:  Find the area of the left and right sides

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 4\ yd[/tex]

[tex]A = 12\ yd^2 * 2[/tex]

[tex]A = 24\ yd^2[/tex]

Step 4:  Total area

[tex]A_{total} = 24\ yd^2 + 18\ yd^2 + 24\ yd^2[/tex]

[tex]A_{total}= 66\ yd^2[/tex]

Answer:  The surface area of the rectangular prism is [tex]66\ yd^2[/tex]

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