How much empty space will be in the box after lequan puts the book inside it

Complete Question

Lequan is giving a book as a gift. She will put the book in a box and wrap it. Both the book and the box are shaped like right rectangular prisms with the dimensions given.

The book is of dimension 8 in by 5 in by 1.5 in

The box is of dimension 10 in by 5.5 in by 2 in

(a) How much empty space will be in the box after Lequan puts the book inside it

(b) What is the minimum amount, in square inches, of wrapping paper needed to completely cover the outside of the box? Write your answer in the space provided

Answer:

(a) 50 cubic inches

(b) 172 Square Inches

Step-by-step explanation:

Part A

Volume of the Book = 8X5X1.5=60 cubic inches

Volume of the box=10X5.5X2=110 cubic inches

Empty Space Left = 110-60 = 50 cubic inches

Part B

The box is of dimension 10 in by 5.5 in by 2 in

To find the minimum amount, in square inches, of wrapping paper needed to completely cover the outside of the box, we determine its surface area.

Surface Area=2 (LB+LH+HB)

=2 (10*5.5+10*2+5.5*2)

=172 Square Inches

Therefore, the minimum amount of wrapping paper needed is 172 Square Inches.