Mathematics, 01.09.2019 00:30 weg5309

The volumes of two similar solids are 1331 m3 and 216 m3. the surface area of the larger solid is 324 m3. what is the surface area of the smaller solid?

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Answer from: rexard

surface area of the smaller solid will be 96.40m².

Step-by-step explanation:

Volumes of two similar solids are 1331 m³ and 216 m³

Since volume is a three dimensional unit means its a multiplication of 3 dimensions, so cube root of ratio of volume gives us the ratio of dimensions.

$\frac{V_{1} }{V_{2}}=\frac{216}{1331}=\sqrt[3]{\frac{216}{1331}}=\frac{6}{11}$

Similarly ratio of surface areas will be equal to the square of the ratio of dimensions.

$\frac{S_{1} }{S_{2}}=(\frac{6}{11})^{2}$

$\frac{S_{1} }{324}=(\frac{36}{121})$

By cross multiplication

$S_{1}(121)=36(324)$

$S_{1}=\frac{36*324}{121}=96.40m^{2}$

therefore, surface area of the smaller solid will be 96.40m².

Answer from: Quest

days of the week

step-by-step explanation:

javier earned more money then kyle, so that won't always be a constant term, but the days of the week do not change so that term is always constant.

edit: i meant

Answer from: Quest

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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The volumes of two similar solids are 1331 m3 and 216 m3. the surface area of the larger solid is 32...