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lesantik [10]
3 years ago
14

Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the ed

ges of the small cube. What is the volume of the larger cube? A. 1.50 m3 B. 3.375 m3 C. 9 m3 D. 27 m3
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0

Answer:

D. 27 meters cubed

Step-by-step explanation:

The first step is to find the edge length of the small cube. The square root of 0.25 is 0.5, meaning that a larger cube with six times the edge length will have an edge of 0.5*6=3 meters. 3 meters cubed is 27 cubic meters, or option D. Hope this helps!

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Answer:  

The smallest value of p+q is 11

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=======================================================

Explanation:

Let's factor 180 in such a way that exactly one factor is a perfect square.

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Those factorizations then lead to the following

\sqrt{180} = \sqrt{4*45} = \sqrt{4}*\sqrt{45}= 2\sqrt{45}\\\\\sqrt{180} = \sqrt{9*20} = \sqrt{9}*\sqrt{20}= 3\sqrt{20}\\\\\sqrt{180} = \sqrt{36*5} = \sqrt{36}*\sqrt{5}= 6\sqrt{5}\\\\

Then we have

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The smallest value of p+q is 11 and it happens when p = 6 and q = 5.

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