3 years ago

What is the volume of a cube that whose edges each have a measure of 1.5 CM

Mathematics

1 answer:

Colt1911 [192]3 years ago

8 0

Answer:

3.375 $cm^{3}$

Step-by-step explanation:

Volume = L x W x H

Volume = 1.5 x 1.5 x 1.5

Volume = 3.375 $cm^{3}$

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Answer: $\bold{S_{\infty}=\dfrac{3125}{2}=1562.5}$

<u>Step-by-step explanation:</u>

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$375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}$

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$S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}$

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