Question

Shella has a box shaped like a right rectangular prism. She wants to cover the entire box with paper. The dimensions of the box are 2 in. x 9 in. x 12 in. What is the area of space that will need to be covered?

a) 24 square inches
b) 138 square inches
c) 108 square inches
d) 30 square inches

Answer 1

To find the area of the box, use the formula 2lw + 2lh + 2wh. Plug in the given dimensions and calculate to find the area.

Step-by-step explanation:

To find the area of the box, we need to find the surface area of all six sides and add them together. The formula to find the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.

In this case, the length is 12 inches, the width is 9 inches, and the height is 2 inches. Plugging these values into the formula, we get:

• 2(12)(9) + 2(12)(2) + 2(9)(2)
• 216 + 48 + 36
• 300

Therefore, the area of space that needs to be covered is 300 square inches, which is not one of the answer options provided.