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How do you find the volume of a cubical box when diagonal is given?
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers
The corners of a square lie on a circle whose radius is 5m. What is the length of the side of the square?
So the diagonal of the square will be 10m Use Pythagoras' theorem to find the length x of the square: x2+x2 = 100 2x2 = 100 Divide both sides by 2: x2 = 50 Square root both sides: x = 7.071067812 Therefore: length of one side = 7.071067812 meters
Sides of a parallelogram are 15 cm and 8 cm. find the length of each diagonal if the larger angle is 100 degrees?
The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length = √[152 + 82 - 2(15)(8)cos 100⁰] diagonal length ≈ 18 The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length =√[152 + 82 - 2(15)(8)cos 80⁰] diagonal length ≈ 16
What is the diagonal of the rectangle has length 6 and width 8?
To find the diagonal of a rectangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides. In this case, the diagonal (d) is the hypotenuse, and the length (l) and width (w) are the other two sides. So, d^2 = l^2 + w^2. Plugging in the values, we get d^2 = 6^2 + 8^2 = 36 + 64 = 100. Therefore, the diagonal is the square root of 100, which is 10.
Find the length of the diagonal of a rectangle that has a length of 16 ft. and width of 10 ft.?
18.9 feet
The area of a square is 100 The length of its diagonal is approximately?
If the area of a square is 100, then its side length is 10. If we draw in a diagonal, then we know by the Pythagorean formula that the diagonal's length is sqrt(10^2 + 10^2) = sqrt(200) = 10*sqrt(2).The square root of 2 is approximately 1.414, so the diagonal's length is approximately 10*1.414 =14.14* The diagonal of any square is the side length times (sq rt 2).
What is the area of a square with a circle of a radius of 5 inches?
If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle which is twice its radius: → area_square = (2 × 5 in)² = 10² sq in = 100 sq in If the circle circumscribes the square, the diagonal of the square is the same as the diameter of the circle; Using Pythagoras the length of the side of the square can be calculated: → diagonal = 2 × 5 in = 10 in → side² + side² = diagonal² → 2 × side² = diagonal² → side² = diagonal² / 2 → side = diagonal / √2 → side = 10 in / √2 → area _square = (10 in / √2)² = 100 sq in / 2 = 50 sq in.
How do you find area of square if diagonal is given?
Using Pythagoras' theorem which says that the square on the hypotenuse (in this case the diagonal) is equal to the sum of the squares on the other two sides (which in the case of a square would be equal in length). so if the diagonal measured 10 units, the square on the diagonal would be 100 square units. And as this = 2*the squares on the other sides, the square on one side would be 100/2 = 50 square units. As a square has sides of equal length the square on one side is actually the area of the square. i.e. the area of a square with a diagonal of 10 units is 50 square units. or generically the area of a square with a diagonal of length 'x' = (x2)/2
How do you find the volume of a cubical box when diagonal is given?
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers
The corners of a square lie on a circle whose radius is 5m. What is the length of the side of the square?
So the diagonal of the square will be 10m Use Pythagoras' theorem to find the length x of the square: x2+x2 = 100 2x2 = 100 Divide both sides by 2: x2 = 50 Square root both sides: x = 7.071067812 Therefore: length of one side = 7.071067812 meters
Sides of a parallelogram are 15 cm and 8 cm. find the length of each diagonal if the larger angle is 100 degrees?
The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length = √[152 + 82 - 2(15)(8)cos 100⁰] diagonal length ≈ 18 The length of the diagonal which is to opposite of 100⁰ angle is: diagonal length =√[152 + 82 - 2(15)(8)cos 80⁰] diagonal length ≈ 16
A square snakes and ladders board has 100 squares and a diagonal length of 35cm Find the lengthof sideof one of the smaller squares?
The length of each side of the smaller squares is 2.475 cm
What is the diagonal of the rectangle has length 6 and width 8?
To find the diagonal of a rectangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides. In this case, the diagonal (d) is the hypotenuse, and the length (l) and width (w) are the other two sides. So, d^2 = l^2 + w^2. Plugging in the values, we get d^2 = 6^2 + 8^2 = 36 + 64 = 100. Therefore, the diagonal is the square root of 100, which is 10.
Quadrilateral abcd is a square bc equals 10 what is the length of ac?
If the quadrilateral is a square then all of its sides are the same length. ac is not one of the sides but is a diagonal which forms the hypotenuse of a right angle triangle with sides ab and bc. According to Pythagoras the sum of the square of the hypotenuse is equal to the sum of the squares of the other two sides. As side ab measures 10 then 10 squared = 100. Side bc has the same measurements. The square of side ac must equal 200 (100 + 100) so the length of side ac must equal the square root of 200 (100 + 100) which is 14.14 (to 2 decimal places).
What is the area of the square with side length equal to 10 inches?
A square with a side length of 10 inches has an area of 100 square inches.
Find the length of the diagonal of a rectangle that has a length of 16 ft. and width of 10 ft.?
18.9 feet
What is the length of one side of a square with a perimeter of 100?
25 !
