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Meliiiii
23.05.2020 •
Mathematics
Two similar solids a and b are shown
solid a has a volume of 60cm^3
a)find the volume of solid b
solid b has a total surface area of 140cm^2
b)find the total surface area of solid a
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Ответ:
Given the two similar solids as shown in the diagram:
a. Volume of Solid B =![\mathbf{480 $ cm^3}](/tpl/images/0663/7261/13be0.png)
b. Surface Area of Solid A =![\mathbf{35 $ cm^2}](/tpl/images/0663/7261/260eb.png)
Given that the two solids, A and B, are similar, therefore, assuming they have a pair of corresponding dimension, given as, a and b respectively, thus:
Thus:
a. Volume of Solid A =![60 $ cm^3](/tpl/images/0663/7261/12ad0.png)
a = 3 cm
b = 6 cm
Substitutea. Area of Solid B =![140 $ cm^2](/tpl/images/0663/7261/69073.png)
a = 3 cm
b = 6 cm
Substitute![\frac{A_A}{140} = \frac{3^2}{6^2}\\\\\frac{A_A}{140} = \frac{9}{36}\\\\A_A = \frac{9 \times 140}{36} \\\\\mathbf{A_A = 35 $ cm^2}](/tpl/images/0663/7261/52996.png)
Therefore, given the two similar solids as shown in the diagram:a. Volume of Solid B =![\mathbf{480 $ cm^3}](/tpl/images/0663/7261/13be0.png)
b. Surface Area of Solid A =![\mathbf{35 $ cm^2}](/tpl/images/0663/7261/260eb.png)
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Ответ:
see explanation
Step-by-step explanation:
Given 2 similar solids with ratio of sides = a : b , then
ratio of areas = a² : b²
ratio of volumes = a³ : b³
Here ratio of sides = 3 : 6 = 1 : 2 , thus
ratio of areas = 1² : 2² = 1 : 4
ratio of volumes = 1³ : 2³ = 1 : 8
(a)
The volume of solid B is 8 times volume of A, that is
volume of solid B = 8 × 60 = 480 cm³
(b)
The area of solid A is one- quarter the area of solid B, that is
surface area of solid A = 140 ÷ 4 = 35 cm²
Ответ:
10.8 feet.
Step-by-step explanation:
first you know that there are 3 ft per yard
then all you do is 3.6 times 3 which is 10.8 feet or 10 4/5 feet