Dimensions of the rectangular prism: a=1/2 inches, b=2 inches, c=7/2 inchesVolumen of the rectangular prism: Vr=abcVr=(1/2 inches)(2 inches)(7/2 inches)Vr=[ (1*2*7) / (2*2) ] inches^3Vr=14/4 inches^3Vr=7/2 inches^3
Side of the cube: s=1 incheVolume of the cube: Vc=s^3Vc=(1 inche)^3Vc=1 inche^3

Number of cubes will fit into the rectangular prism: nn=Vr/Vcn=(7/2 inches^3) / (1 inche^3)n=7/2n=3.5
3.5 cubes with side lengths of 1 inche will fit into the prism
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Three times a number (n) is 36 less than five times the number (n). What is the number?

rodikova [14]

Answer:

Step-by-step explanation:

To find the number, write an algebraic equation with the given information. Let the variable n represent the unknown number.

Now, break it by parts - "three times a number" would be $3n$ . The "is" means that it equals something, giving us $3n =$ . "36 less than 5 times the number" would be subtracting 36 from whatever 5 times the number is: $5n -36$ . So, put it all together and it is $3n = 5n-36$ .