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?

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.