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manillasoccer
15.06.2020 •
Mathematics
PLEASE HELP ME OUT i already asked this question but imma ask it again
1). The volume of Solid A is 28 meters cubed and the volume of Solid B is 1,792 meters cubed. If the solids are similar, what is the ratio of the surface area of Solid A to the surface area of Solid B? Use a : or / to write your ratio.
2). The surface area of a triangular pyramid is 1,936 inches squared. If the dimensions are multiplied by 1/4, what will be the new surface area?
Please answer with explanation if possible but i really need this i cant figure it out ty
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Ответ:
1) 1/16
2) 121 in²
Step-by-step explanation:
1) The ratio of volumes of similar shapes is equal to the cube of the ratio of the sides.
V₁/V₂ = (s₁/s₂)³
Similarly, the ratio of the areas equals the square of the ratio of the sides.
A₁/A₂ = (s₁/s₂)²
First, use the volumes to find the ratio of the sides.
28 / 1792 = (s₁/s₂)³
1/64 = (s₁/s₂)³
s₁/s₂ = 1/4
Now find the ratio of the areas.
A₁/A₂ = (1/4)²
A₁/A₂ = 1/16
2) A₁/A₂ = (s₁/s₂)²
If s₁ = s₂/4, and A₂ = 1936:
A₁ / 1936 = (1/4)²
A₁ / 1936 = 1/16
A₁ = 1936 / 16
A₁ = 121 in²
Ответ:
I think its B. because u multiply