1. What's the surface area of the gift box?
2. Jessie currently has 1000 in2 of wrapping paper. Will that be enough to wrap her dad's gift?

1 Whats the surface area of the gift box 2 Jessie currently has 1000 in2 of wrapping paper Will that be enough to wrap her dads gift class=

Respuesta :

Answer:

1. 1042 inches 2

2. The current wrapping paper will not be enough to wrap her dad's gift.

Step-by-step explanation:

1.

As the gift box is a rectangle box shape, so that the total surface area of it is the total area of 6 rectangles.

In these 6 rectangles, the two opposite rectangles are equal to each other. So that in this box, there are 3 types of rectangle:

+) The first one has: length = 24.5 in; width = 10 in

=> Its area is: 24.5 x 10 = 245 inches 2

+) The second one has: length = 24.5; width = 8

=> Its area is: 24.5 x 8 = 196 inches 2

+) The last one has: length = 10; width = 8

=> Its area is: 10 x 8 = 80 inches

So that the surface area of the box is as twice as total area of these 3 rectangle

=> the surface area = 2 x (245 + 196 + 80) = 1042 in2

2.

As it was calculated in the previous part, the total area of surface of the gift box was 1,042 inches 2.

Currently, Jessie's wrapping paper has the area of 1,000 inches 2.

As 1,000 inches 2 < 1,042 inches 2

=> The area of wrapping area is less than the area of surface of the gift box

=> So that the wrapping paper cannot cover all of the surface of the gift box.

Conclusion: The current wrapping paper will not be enough to wrap her dad's gift.

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