Question

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has cm of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answer 1

This question is incomplete and lacks the required diagram

Complete Question

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 inches of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answer:

Yes, he has enough ribbon to decorate the top of the box.

Step-by-step explanation:

From the above question, we are told that the volume of the box = 296cm³

Volume of the box = a³

296cm³ = a³

a = √296cm³

a = 6.6644437033cm

The side length of the box = 6.6644437033cm

The length of the ribbon = 24 1/4 inches

= 24.25 inches long.

Converting this to centimeters =

1 inch = 2.54cm

24.25 inches =

24.25 × 2.54 cm

= 61.595cm.

Length of the ribbon = 61.595cm.

Since from the above, we know the edges of the cube = square

Edge length of the box = 6.6644437033cm

The perimeter of a top of the box

= 4a

= 6.6644437033cm × 4

= 26.657774813 cm

Subtracting the perimeter of the top of the box from the length of the ribbon

61.595cm - 26.657774813 cm

= 34.937225187 cm ( ribbon left)

Therefore, he has enough ribbons left