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3 years ago

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3

Mathematics

1 answer:

kogti [31]3 years ago

7 0

Answer:

135 cubes

Step-by-step explanation:

step 1

Find the volume of one cube

we know that

The volume of the cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$b=\frac{1}{3}\ units$

substitute

$V=(\frac{1}{3})^3$

$V=\frac{1}{27}\ units^3$

step 2

Find out how many 1/3 unit cubes does it take to fill the prism

Divide the volume of the prism by the volume of one cube

$5:\frac{1}{27}=5(27)= 135\ cubes$

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In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.

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If we check and apply this, we can see that:

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Sveta_85 [38]

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