I need some help with math homework please

Question

1. a square acre of land is 4,840 square yards. Between which two integers is the length of one side?  

 

2. The volume of a cube is given by V=x^3, where x is the length of an edge of the cube. the area of a square is given by A=x^2, where x is the length of a side of the square.A given cube has a volume of 1728 cubic inches.

A. Find the length of an edge

B. Find the area of one side of the cube

C. Find the surface area of the cube.

D. What is the surface area in square feet?

    

3. Which number is between √21 and 3π/2?

 

 

Answer 1

Hello, Edison

1) just take the square root of 4,840, which is 69.57 if you round to the hundredths place value.  This number is between 69 and 70. 

2) Take the cube root of 1,728. This number is 12. Since 12^3= 1,728.

a) the edge is 12 inches

b) a= x^2= 12*12= 144 sq. in.  This is the area of a face of the cube.

c) the surface area is (6)(144)= 864 sq. in.  Since there are six faces, you multiply by 6.

d) 1 sq. ft. = 144 sq. in., so divide 864 by 144, which is 6

 

3) The sq. rt. of 21 is 4.58 and (3pi/2)= (3.14* 3)/2= 9.42/2= 4.71. 

Add 4.58+ 4.71= 9.29. Then divide by 2. That equals 4.645. 

 

I hope this helps and thanks for posting.  

D.Y. T.

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