Lesson 5: 3-D Figures and Cross Sections
Shyla covered a box with fabric. The dimensions of the box are shown in the figure below:
A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 7 inches, and the width is labeled as 8 inches.
The fabric costs 7¢ per square inch. She will only pay for the fabric used to cover the box, even if there is waste or extra. How much money did Shyla spend on the fabric?
(1 point)
Group of answer choices
$30.94
$23.10
$19.38
$15.47
To find the total surface area of the box, we need to find the area of each face and then sum them up.
The two faces with dimensions 11 inches by 7 inches have an area of 11 inches * 7 inches = 77 square inches each. Since there are 2 of these faces, the total area for these faces is 2 * 77 = 154 square inches.
The two faces with dimensions 11 inches by 8 inches have an area of 11 inches * 8 inches = 88 square inches each. Since there are 2 of these faces, the total area for these faces is 2 * 88 = 176 square inches.
The two faces with dimensions 7 inches by 8 inches have an area of 7 inches * 8 inches = 56 square inches each. Since there are 2 of these faces, the total area for these faces is 2 * 56 = 112 square inches.
Adding up all the areas, we get 154 + 176 + 112 = 442 square inches.
The cost of the fabric is 7¢ per square inch, so the total cost will be 442 square inches * 7¢ = $30.94.
Therefore, Shyla spent $30.94 on the fabric. So, the correct answer is:
$30.94