Answer :
Emily will need 84 centimeters of ribbon to decorate the edges of a box with dimensions 8 cm by 6 cm by 7 cm. The calculation involves summing the lengths of all 12 edges of the box.
To find out how much ribbon Emily will need to decorate all the edges of the box, we need to calculate the total length of all the edges.
The dimensions of the box are:
- Length: 8 cm
- Width: 6 cm
- Height: 7 cm
A rectangular box has 12 edges. The edges consist of:
- 4 edges of length
- 4 edges of width
- 4 edges of height
The total length of the ribbon needed is the sum of the lengths of all these edges.
Calculate the total length:
[tex]\[4 \times \text{Length} + 4 \times \text{Width} + 4 \times \text{Height}\][/tex]
Substitute the given dimensions:
[tex]\[4 \times 8 \, \text{cm} + 4 \times 6 \, \text{cm} + 4 \times 7 \, \text{cm}\][/tex]
Calculate each term:
[tex]\[4 \times 8 = 32 \, \text{cm}\]\\4 \times 6 = 24 \, \text{cm}\]\\4 \times 7 = 28 \, \text{cm}\][/tex]
Add these values together:
[tex]\[32 \, \text{cm} + 24 \, \text{cm} + 28 \, \text{cm} = 84 \, \text{cm}\][/tex]
Emily will need 84 centimeters of ribbon to decorate the edges of the box.