Question

What is the area of the tissue box? Show your work. H= 4.5 L=9 W=4.75

Answer 1

To find the surface area of a rectangular tissue box with given dimensions, calculate the area of all six faces and sum them up, resulting in 209.25 square units.

Step-by-step explanation:

The question is asking to find the surface area of a rectangular tissue box with dimensions given as Height (H) = 4.5, Length (L) = 9, and Width (W) = 4.75. The surface area (SA) of a rectangular prism is calculated by finding the areas of all six faces and summing them up. The formula for the surface area is SA = 2lw + 2lh + 2wh, where l is length, w is width, and h is height.

Let's calculate the surface area step by step:

1. Calculate the area of the front and back: 2(lw) = 2(9 * 4.75) = 2(42.75) = 85.5
2. Calculate the area of the top and bottom: 2(lh) = 2(9 * 4.5) = 2(40.5) = 81
3. Calculate the area of the sides: 2(wh) = 2(4.5 * 4.75) = 2(21.375) = 42.75
4. Add all the areas together: 85.5 + 81 + 42.75 = 209.25 square units.

Therefore, the surface area of the tissue box is 209.25 square units.