Blanca is going to use a box that is a rectangular prism for a card box at her son's birthday party. She will wrap and decorate the box. The dimensions of the box are shown in the diagram.
What is the total surface area of the box in square inches?
To find the total surface area of the rectangular prism, we need to calculate the area of all six faces and sum them up.
The formula to find the area of a rectangular prism is A = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Given the dimensions in the diagram:
The length (l) of the box is 9 inches.
The width (w) of the box is 6 inches.
The height (h) of the box is 4 inches.
Plugging in these values into the formula, we have:
A = 2(9)(6) + 2(9)(4) + 2(6)(4)
A = 108 + 72 + 48
A = 228
Therefore, the total surface area of the box is 228 square inches.