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The ratio of the surface areas of two similar objects is equal to the square of the ratio of their corresponding linear dimensions. Since the diameter of the moon is one fourth of the diameter of the Earth, the ratio of their diameters is 1:4. Therefore, the ratio of their surface areas is (1/4)^2 = 1/16. This means that the surface area of the moon is 1/16th of the surface area of the Earth.

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ProfBot

5mo ago

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Why are square units used when working with a three dimensional figure?

Because the surface areas of 3-d figures are two-dimensional and their measures require square units.Because the surface areas of 3-d figures are two-dimensional and their measures require square units.Because the surface areas of 3-d figures are two-dimensional and their measures require square units.Because the surface areas of 3-d figures are two-dimensional and their measures require square units.


What happens to the area of a circle if the diameter is quadrupled?

If the diameter of a circle is quadrupled, the circle's area goes up 16 times as area is proportional to diameter squared. Remember area = pi /4 times diameter squared -------------------------------------------------------------------------- In any ratio of shapes: whatever the ratio of the lengths, the ratio of the areas is the square of that ratio. In this case, the ratio is 1:4, so the areas are in the ratio of 1²:4² = 1:16; ie as the length of the diameter is quadrupled (ratio 1:4), the area becomes 16 times bigger (1:16).


How do you calculate the surface area of a figure with many sides?

Add the areas of all the faces (Flat sides).


Do congruent spheres have equal surface areas?

Two spheres that are congruent are the same size and shape. Therefore, they would have the same surface area. So this statement is always true.


What is the area of a circle at has the diameter of 10 cm?

78.54 cubic centermeters * * * * * Correct number, wrong units. Areas may be measured in SQUARE centimetres, not cubic centimetres.

Related Questions

A sphere with a diameter of 16mm has the same surface areas the total?

A surface area of 804.2 cm2


What happens to the surface area of a cylinder if the diameter of the base is doubled and the height is not changed?

The base areas quadruple and the curved surface doubles.


What happens to the surface area of a cylinder if the height is doubled and the diameter of the base is not change?

The surface area of the 'wall' doubles, but the base areas remain the same.


What is the surface areas of a cylinder with a diameter of 6 inches and a height of 5 inches?

Total surface area: (2*pi*9)+(pi*6*5) = 48*pi square inches


How much of the Earth's surface does humans live on?

Humans live on approximately 30% of the Earth's land surface. The remaining 70% is covered by oceans, deserts, mountains, and other uninhabitable areas.


Fourth largest state in area?

Montana is the fourth largest state in the United States by land area, covering approximately 147,040 square miles. It is known for its vast wilderness areas, including Glacier National Park and the Rocky Mountains.


Do The surface areas of the ocean have abundant nutrients?

The surface areas of the ocean have abundant nutrients.


What is the effect on coefficient of static friction when side length of a cube of 5 cm is doubled to original?

The surface areas in contact do not affect the coefficient.The surface areas in contact do not affect the coefficient.The surface areas in contact do not affect the coefficient.The surface areas in contact do not affect the coefficient.


What is the surface area of a cylinder of 14cm and 18cm?

To calculate the surface area of a cylinder, you need to add the areas of the two bases (top and bottom) and the lateral surface area. The formula for the lateral surface area of a cylinder is 2πrh, where r is the radius and h is the height. Given the radius is 7cm (half of the diameter) and the height is 18cm, the lateral surface area is 2 * π * 7 * 18 = 252π cm². The total surface area is the sum of the lateral surface area and the areas of the two bases, which is 252π + 2(πr²) = 252π + 2(π*7²) = 252π + 98π = 350π cm², or approximately 1099.65 cm².


Differentiate the surface water areas and surface land areas within the Philippine territorial limits?

The surface water areas of the Philippines covers a larger space than those of the surface land areas. This is possible because 3/4 of the Earth is covered by water.


How do you calculate the surface areas?

The answer will depend on what the surface area is of. The surface areas of regular shapes are can be calculated from formulae but these will depend on the shapes. For non-regular areas there may or may not be simple formulae.


What are the trench like areas on Moon's surface?

the trench like areas on the moons surface are called craters