Question: The area of a square is 324 square inches. What is the length of one side of the square?
The formula for finding area of squares is:
Length x Width
Squares have 4 sides, and all sides measure the same. If the area is 324 square units, that means the length and width are the same.
x X x=x2
X2=324
x squared(x²) is equal to 324. To find x, you have to do the opposite of squaring, which is finding the square root.
x2= 324 —> square root of 324=x
To find x, you have find the square root of 324.
Square root of 324 is 8
The length of one side is 18 inches
Check:
The formula for finding area is:
Length x Width
The length and width gotten was 18. Put that into the formula:
18 x 18
Multiply:
18 x 18= 324
That means the answer is correct. Your answer is 18 inches.
If you have any questions, feel free to ask in the comments! :)
Answer:
5.44 cm³
Step-by-step explanation:
The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.
The area of a hexagon with side length s is given by ...
A = (3/2)√3·s²
For s=1 cm, the area is ...
A = (3/2)√3(1 cm)² = (3/2)√3 cm²
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The area of a circle is given by ...
A = πr²
The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...
A = π(0.5 cm)² = 0.25π cm²
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The volume is the face area multiplied by the length, so is ...
V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³
V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³
The volume of the metal is about 5.44 cm³.
Six less than five times a number is at least 29.
