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? Round to the nearest whole number.

Answer 1

To find the surface area of the earring box, we need to calculate the area of each of the six faces and add them together.

The dimensions of the box are:
Length = 5 inches
Width = 3 inches
Height = 2 inches

The area of the top and bottom faces (which have the same dimensions) is:
Area = Length * Width
Area = 5 * 3
Area = 15 square inches

The area of the front and back faces (which have the same dimensions) is:
Area = Length * Height
Area = 5 * 2
Area = 10 square inches

The area of the left and right faces (which have the same dimensions) is:
Area = Width * Height
Area = 3 * 2
Area = 6 square inches

Now, we add up all the areas to find the total surface area:
Total Surface Area = 2*(15) + 2*(10) + 2*(6)
Total Surface Area = 30 + 20 + 12
Total Surface Area = 62 square inches

Therefore, the surface area of the earring box is 62 square inches, rounded to the nearest whole number.

Answer 2

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? Round to the nearest whole number.

sorry, forgot to add details. the dimensions of the box are: length = 14 cm, width = 7 cm, and height = 1.66 cm.

Answer 3

To find the surface area of the earring box, we need to calculate the area of each of the six faces and add them together.

The dimensions of the box are:
Length = 14 cm
Width = 7 cm
Height = 1.66 cm

The area of the top and bottom faces (which have the same dimensions) is:
Area = Length * Width
Area = 14 * 7
Area = 98 square centimeters

The area of the front and back faces (which have the same dimensions) is:
Area = Length * Height
Area = 14 * 1.66
Area = 23.24 square centimeters

The area of the left and right faces (which have the same dimensions) is:
Area = Width * Height
Area = 7 * 1.66
Area = 11.62 square centimeters

Now, we add up all the areas to find the total surface area:
Total Surface Area = 2*(98) + 2*(23.24) + 2*(11.62)
Total Surface Area = 196 + 46.48 + 23.24
Total Surface Area = 265.72 square centimeters

Therefore, the surface area of the earring box is approximately 266 square centimeters, rounded to the nearest whole number.

Answer 4

the diameter of a cylinder is 14 cm, the height is 16 cm. what is the surface area in terms of pi?

Answer 5

To find the surface area of a cylinder in terms of π, we need to calculate the areas of the two bases and the lateral surface area:

1. The area of each base (circle) can be calculated using the formula for the area of a circle:
Area_base = πr^2, where r is the radius of the base.
Given that the diameter of the cylinder is 14 cm, the radius (r) is half of the diameter, so r = 14/2 = 7 cm.
Area_base = π*(7)^2 = 49π square cm (for one base)

Since the cylinder has two bases, the total area of the two bases is:
Total Base Area = 2 * Area_base = 2 * 49π = 98π square cm

2. The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh, where r is the radius and h is the height of the cylinder.
Lateral Surface Area = 2π*7*16 = 224π square cm

Therefore, the total surface area of the cylinder in terms of π is the sum of the base areas and the lateral surface area:
Total Surface Area = Total Base Area + Lateral Surface Area
Total Surface Area = 98π + 224π = 322π square cm

Thus, the surface area of the cylinder in terms of π is 322π square cm.