logo for solving-math-problems.com
leftimage for solving-math-problems.com

Algebra - Formula

by Anjonette
(Texas)











































Can you show me how to use your formula if the Length is 12 feet and the width is 53 feet?

Comments for Algebra - Formula

Click here to add your own comments

May 08, 2011
Algebra - Formula
by: Staff


The question:

by Anjonette
(Texas)


Can you show me how to use your formula if the Length is 12 feet and the width is 53 feet?


The answer:

You did not say what formula you wanted help with.

The only recent question we received involving length and width is the following:

The volume of a rectangular slab of concrete needs to exceed 72 cu. ft. If the length is 12 feet and the width is 8 feet, how thick does the concrete slab need to be?


If this is not the question/formula you are referring to, just click on comments and let us know which formula you would like help with.

Assuming the rectangular slab question is the correct question, here is the answer:

V = volume of slab in cubic feet

L = length of slab in feet

W = width of slab in feet

T = thickness of the slab in feet


The formula for the volume of the slab is:

V = L x W x T

The volume of the concrete slab in your problem must be greater than 72 cubic feet:

V > 72

The known measurements are:

L = 12

W = 53


Substitute this known information in the equation for the volume:

Begin with what is known about the volume

V = L x W x T

V > 72

Substitute the L x W x T for the V

L x W x T > 72

Substitute the values of the other known variables (length & width)

12 x 53 x T > 72

Solve the equation

Solve for T

12 x 53 x T > 72

636 x T > 72

(636 x T)/636 > 72/636

(636/636) x T > 72/636

1 x T > 72/636

T > 72/636


T > (12*6)/(12*53)

T > (12/12)*(6/53)

T > (1)*(6/53)

T > (6/53)

T > 6/53


The final answer is: the thickness of the slab must be greater than 6/53 ft (in decimal form this is: 0.113208 ft, or 1.35849 inches)


Check the answer

Substitute all values in the original equation:

L x W x T > 72

“T” will actually be any value greater than 6/53 feet. However, for this mathematical check, use 6/53 for “T” and an equal sign in the equation.


12 x 53 x (6/53) = 72

636 x (6/53) = 72

72 = 72, correct




Thanks for writing.


Staff
www.solving-math-problems.com



Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com