Find the surface area of the rectangular prism.
4 yd
3 yd
3 yd
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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]