Question

Blanca is going to use a box that is a rectangular prism for a card box at her son's birthday partyShe will wrap and decorate the boxThe dimensions of the box are shown in the diagram .

9.1 in . 7 in. 10.5 in .

What is the total surface area of the box in square inches ?
I hope the numbers help because I don’t know how to put pictures

Answer 1

To find the total surface area of the box, we'll need to find the area of each face and then add them together. The box has 6 faces:

1. Top and bottom faces: Two rectangles with dimensions 9.1 in (length) and 7 in (width). The area of each rectangle is length × width, so the area of both rectangles (top and bottom) is 2 × (9.1 × 7) = 2 × 63.7 = 127.4 square inches.

2. Left and right faces: Two rectangles with dimensions 10.5 in (height) and 7 in (width). The area of each rectangle is height × width, so the area of both rectangles (left and right) is 2 × (10.5 × 7) = 2 × 73.5 = 147 square inches.

3. Front and back faces: Two rectangles with dimensions 9.1 in (length) and 10.5 in (height). The area of each rectangle is length × height, so the area of both rectangles (front and back) is 2 × (9.1 × 10.5) = 2 × 95.55 = 191.1 square inches.

Now, we'll add the areas of each pair of faces:
Total surface area = 127.4 + 147 + 191.1 = 465.5 square inches

So, the total surface area of the box is 465.5 square inches.