Juana has started making earrings and needs boxes to ship them in. The diagram below shows the dimensions of the box she needs. What is the surface area of the earring box?
266
70
35
364
To calculate the surface area of the earring box, we first need to determine the dimensions of the box. Looking at the diagram, we can see that the box has three dimensions: 266, 70, and 35.
The surface area of a rectangular box is calculated by adding up the areas of all six sides.
The formula for calculating the surface area of a rectangular box is:
2lw + 2lh + 2wh
where l = length, w = width, and h = height
Given our dimensions:
l = 266
w = 70
h = 35
Plugging these values into the formula:
2(266)(70) + 2(266)(35) + 2(70)(35)
= 37,240 + 18,610 + 4,900
= 60,750
Therefore, the surface area of the earring box is 60,750 square units.
No- those are the answers, the premeiters are 1.66cm, 14cm, and 7cm
I apologize for the misunderstanding. If the perimeters of the sides of the earring box are 1.66 cm, 14 cm, and 7 cm, we can calculate the dimensions of the box as follows:
Let the dimensions of the box be x, y, and z.
Given that:
Perimeter of the first side = 1.66 cm
Since the first side is a rectangle, we have:
2(x + y) = 1.66
x + y = 0.83
Perimeter of the second side = 14 cm
Since the second side is a rectangle, we have:
2(y + z) = 14
y + z = 7
Perimeter of the third side = 7 cm
Since the third side is a rectangle, we have:
2(x + z) = 7
x + z = 3.5
Now we have a system of equations:
x + y = 0.83
y + z = 7
x + z = 3.5
Solving this system of equations will give us the dimensions of the earring box, and then we can calculate the surface area using the formula mentioned in the previous response. Let x be the length, y be the width, and z be the height.
However, based on the information provided, it is not possible to calculate the surface area without knowing the exact dimensions of the box. I recommend solving the system of equations to find the dimensions and then use the surface area formula to determine the surface area.
Juana has started making earrings and needs boxes to ship them in. The diagram below shows the dimensions of the box she needs. What is the surface area of the earring box?
FRONT SIDE IS 14cm
SIDE ONE IS 1.66cm
SIDE TWO IS 7cm
To calculate the surface area of the earring box, we need to determine the dimensions of the box based on the given information.
Let the dimensions of the earring box be:
- Length (L)
- Width (W)
- Height (H)
From the given information:
- The front side (L) has a perimeter of 14 cm.
This means 2L + W = 14 cm
- Side one (W) has a perimeter of 1.66 cm.
This means 2W + H = 1.66 cm
- Side two (H) has a perimeter of 7 cm.
This means W + 2H = 7 cm
Now we have a system of equations:
2L + W = 14
2W + H = 1.66
W + 2H = 7
Solving this system of equations will give us the dimensions of the earring box.
Once we have the dimensions, we can calculate the surface area using the formula for the surface area of a rectangular box:
Surface area = 2(LW + LH + WH)
Seriously?
I apologize for the error in my response. Let's reevaluate the information provided:
Given dimensions of the earring box:
Front side: L = 14cm
Side One: W = 1.66cm
Side Two: H = 7cm
To calculate the surface area of the earring box, we'll use the formula for the surface area of a rectangular box:
Surface Area = 2(LW + LH + WH)
Plugging in the dimensions:
Surface Area = 2(14*1.66 + 14*7 + 1.66*7)
Calculating this:
Surface Area = 2(23.24 + 98 + 11.62)
Surface Area = 2(132.86)
Surface Area = 265.72
Therefore, the surface area of the earring box is 265.72 square centimeters.