Surface Area of Cubes & Rectangular Prisms Quick Check

Question

3 of 53 of 5 Items
Question
Use the image to answer the question.

An illustration shows a rectangular prism with length 12 inches, width 5 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.

Solve for the surface area of the rectangular prism.

(1 point)
Responses

180 square inches
180 square inches

222 square inches
222 square inches

111 square inches
111 square inches

270 square inches
270 square inches

Answer 1

To find the surface area of a rectangular prism, you need to calculate the area of all six faces and then add them together.

The formula for the surface area of a rectangular prism is: 2lw + 2lh + 2wh

Given:
Length (l) = 12 inches
Width (w) = 5 inches
Height (h) = 3 inches

Surface Area = 2(12*5) + 2(12*3) + 2(5*3)
Surface Area = 2(60) + 2(36) + 2(15)
Surface Area = 120 + 72 + 30
Surface Area = 222

Therefore, the surface area of the rectangular prism is 222 square inches.

Correct response:
222 square inches