Use the image to answer the question.
COURSE TOOLS
3 in.
I--！
Item 1
Item 2
Item 3
Item 4
Item 5
5 in.
12 in.
Solve for the surface area of the rectangular prism.
(1 point)
• 222 square inches
• 270 square inches
• 180 square inches
• 111 square inches
To find the surface area of the rectangular prism, we need to find the area of each face and then sum them up.
First, find the area of the top and bottom faces:
Area = length x width
Area = 5 in. x 3 in. = 15 sq. in. (each)
Total for top and bottom faces = 15 sq. in. x 2 = 30 sq. in.
Next, find the area of the front and back faces:
Area = height x width
Area = 12 in. x 3 in. = 36 sq. in. (each)
Total for front and back faces = 36 sq. in. x 2 = 72 sq. in.
Lastly, find the area of the two side faces:
Area = height x length
Area = 12 in. x 5 in. = 60 sq. in. (each)
Total for side faces = 60 sq. in. x 2 = 120 sq. in.
Now, sum up the areas of all faces:
Surface area = 30 sq. in. (top and bottom) + 72 sq. in. (front and back) + 120 sq. in. (sides)
Surface area = 30 sq. in. + 72 sq. in. + 120 sq. in. = 222 sq. in.
Therefore, the surface area of the rectangular prism is 222 square inches. So, the correct answer is:
• 222 square inches