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3 years ago

1. What is the GCF of 42 and 66?

Mathematics

2 answers:

almond37 [142]3 years ago

5 0

Answer:

The greatest common factor (GCF) of 42 and 66 is 6.

(Btw, I did not copy anyone, so please do not say I did. Also, I am the first answer..)

NARA [144]3 years ago

5 0

Answer:

Step-by-step explanation:

The first step to find the gcf of 42 and 66 is to list the factors of each number. The factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42. The factors of 66 are 1, 2, 3, 6, 11, 22, 33 and 66. So, the Greatest Common Factor for these numbers is 6 …

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Find the volume of the cubes or rectangular prisms in cubic centimeters.

DanielleElmas [232]

a) Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

b) Volume of cube is $\frac{8}{125}\,\,cm^3$

c) Volume of cube is $\frac{1}{125}\,\,cm^3$

d) Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= $\frac{3}{5}\,\,cm$

width= $\frac{4}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

Part b)

Volume of cube with side length of $\frac{2}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3$

So, Volume of cube is $\frac{8}{125}\,\,cm^3$

Part c)

Volume of cube with side length of $\frac{1}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3$

So, Volume of cube is $\frac{1}{125}\,\,cm^3$

Part d)

Volume of rectangular prism with

length= $\frac{1}{5}\,\,cm$

width= $\frac{2}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Keywords: Volume

Learn more about Volume at:

#learnwithBrainly

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3 years ago

Leslie tunes musical instruments. Leslie tuned a guitar with 6 strings today. Then she tuned a piano with 37 times as many strin

e-lub [12.9K]

Answer: The piano has 222 strings, because 37×6=222.

Step-by-step explanation:

Since we are informed that Leslie tuned a guitar with 6 strings today and that she then tuned a piano with 37 times as many strings.

This simply means that we have to multiply 37 by 6 strings to get the value of the strings of the piano that she tuned. This will be:

= 6 × 37

= 222 strings.

Leslie tuned 222 strings.

Therefore, the piano has 222 strings, because 37×6=222.

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