LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a box that is 4in x 6in x 2in? In your final answer, include all of your calculations.
the surface consists of 3 pairs of rectangles, right? So the area is
2(4*6 + 4*2 + 6*2)
To calculate the surface area of the box, we need to find the area of each side and then add them together.
First, let's find the area of the bottom and top sides of the box. Since the box measures 4in x 6in, the area is:
Bottom/Top Side Area = length x width
= 4in x 6in
= 24 square inches
Next, let's find the area of the two sides of the box. Since the box measures 4in x 2in (height x length) and has two sides, the total area is:
Side Area = height x length x 2
= 2in x 4in x 2
= 16 square inches
Lastly, let's find the area of the two remaining sides of the box. Since the box measures 6in x 2in (height x width) and has two sides, the total area is:
Remaining Side Area = height x width x 2
= 2in x 6in x 2
= 24 square inches
Now, let's add all the areas together to find the total surface area:
Total Surface Area = Bottom/Top Side Area + Side Area + Remaining Side Area
= 24 square inches + 16 square inches + 24 square inches
= 64 square inches
Therefore, LeAnn will need 64 square inches of giftwrap to cover her present.
To find the total square inches of giftwrap needed to cover the box, you need to calculate the surface area of the box. Here's how to do it:
Step 1: Calculate the surface area of each side of the box.
- The top and bottom sides have the same dimensions, so the surface area of one top or bottom side is: 4in x 6in = 24 square inches.
- The two smaller sides also have the same dimensions, so the surface area of one smaller side is: 4in x 2in = 8 square inches.
- The two larger sides also have the same dimensions, so the surface area of one larger side is: 6in x 2in = 12 square inches.
Step 2: Add up the surface area of all sides.
- To find the total surface area, add up the surface areas of all sides:
(2 x 24 square inches) + (2 x 8 square inches) + (2 x 12 square inches) = 48 square inches + 16 square inches + 24 square inches = 88 square inches.
Therefore, LeAnn will need 88 square inches of giftwrap to cover the box.