Question

As soon as wrapping books to give as gifts book a has a length of 6.5 in and a width of one inch and a height of 8.5 in this book b has a length of 5.5 in and a width of 2 in and a height of 8 in based on the surface area

Answer 1

To calculate the surface area of each book, we need to find the area of each side and then sum them up.

For Book A:
- Side 1: Length x Width = 6.5 in x 1 in = 6.5 in²
- Side 2: Length x Width = 6.5 in x 1 in = 6.5 in²
- Side 3: Length x Height = 6.5 in x 8.5 in = 55.25 in²
- Side 4: Length x Height = 6.5 in x 8.5 in = 55.25 in²
- Side 5: Width x Height = 1 in x 8.5 in = 8.5 in²
- Side 6: Width x Height = 1 in x 8.5 in = 8.5 in²

Total Surface Area of Book A = Side 1 + Side 2 + Side 3 + Side 4 + Side 5 + Side 6
= 6.5 in² + 6.5 in² + 55.25 in² + 55.25 in² + 8.5 in² + 8.5 in²
= 140.5 in²

For Book B:
- Side 1: Length x Width = 5.5 in x 2 in = 11 in²
- Side 2: Length x Width = 5.5 in x 2 in = 11 in²
- Side 3: Length x Height = 5.5 in x 8 in = 44 in²
- Side 4: Length x Height = 5.5 in x 8 in = 44 in²
- Side 5: Width x Height = 2 in x 8 in = 16 in²
- Side 6: Width x Height = 2 in x 8 in = 16 in²

Total Surface Area of Book B = Side 1 + Side 2 + Side 3 + Side 4 + Side 5 + Side 6
= 11 in² + 11 in² + 44 in² + 44 in² + 16 in² + 16 in²
= 142 in²

Therefore, Book A has a surface area of 140.5 in², and Book B has a surface area of 142 in².