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1 answer:
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<h2>Answer:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:
FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:
In fact, the volume is because:
Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:
FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:
So the new volume is:
<em>Well, the volume has increased from </em> <em>and since</em>
<em>we can say that the new volume is two times the original volume.</em>
Answer:
Larger number is 13 and Smaller number is 4.
Step-by-step explanation:
Let the larger number be x.
Also let the smaller number be y.
We need to find the two numbers.
Given:
The larger of two numbers is twice the smaller increased by five.
framing in equation form we get;
⇒equation 1
Also Given:
Three times the larger exceeds double the smaller by 31
⇒equation 2
Now Substituting the value of x from equation 1 in equation 2 we get;
Now Using Distributive property we get;
Combining the like terms we get;
Now Using Subtraction property we get;
Now Using Division property we get;
Now Substituting value of y in equation 1 we will find the value of x.
Hence Larger number is 13 and Smaller number is 4.