angel's dad bought a television for her completing all of her digital learning day lesson. he want to warp the gift. the box measure 56 inches by 8 inches by 36 inches. wrapping paper is sold in rectangle that measure 26 inches by 17 inches. how many sheets of wrapping paper will angel dad need to purchase?

Relax

Respuesta :

Answer: 13 sheets of paper

Step-by-step explanation:

We are given the dimensions of the box and the wrap paper:

Box:

[tex](56 in)(8 in)(36 in)[/tex]

Warp paper:

[tex](26 in)(17 in)[/tex]

Now we need to find the surface area of the box and the area of the wrap paper:

Box:

[tex]surface_{1}=(56 in)(8 in)(2)=896 in^{2}[/tex]

[tex]surface_{2}=(8 in)(36 in)(2)=576 in^{2}[/tex]

[tex]surface_{3}=(56 in)(36 in)(2)=4032 in^{2}[/tex]

[tex]surface-area=896 in^{2}+576 in^{2}+4032 in^{2}=5504 in^{2}[/tex]

Warp paper:

[tex]area=(26 in)(17 in)=442 in^{2}[/tex]

Dividing the area of the box by the area of the paper:

[tex]\frac{surface-area}{area}=\frac{5504 in^{2}}{442 in^{2}}=12.45 \approx 13[/tex]

This means Angel's dad needs to purchase 13 sheets of wrapping paper.