Maths-
General
Easy
Question
A square is drawn with the length of the side equal to the diagonal of the cube. if the square area is 72075 cm2, then find the side of the cube?
Hint:
Area of square=side × side=a²
Diagonal of cube=
unit
The correct answer is: 155 cm.
The length of the square and the diagonal of the cube are coincided. Therefore, the value of the two will be equal.
- We are given that,
Area of the square=72,075 cm²
Side of square=Diagonal of cube
Let the edge of the cube be 'a' cm.
As we know,
length of the diagonal of cube=
×edge of the cube=
a cm
- The length of the side of the square is equal to the length of the diagonal of the cube.
- Area of square(drawn on diagonal of cube)
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals left parenthesis square root of 3 a right parenthesis squared cm squared end cell row cell equals 3 a squared cm squared end cell end table](data:image/png;base64,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)
- We know that, area of square drawn on the diagonal of a cube= 72,075 cm²
Therefore,
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3 a squared equals 72075 cm squared end cell row cell => a squared equals 72075 over 3 end cell row cell => a squared equals 24025 end cell row cell => a equals square root of 24025 end cell row cell => a equals 155 cm end cell end table](data:image/png;base64,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)
Therefore , the side of the cube is 155 cm.
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![text Area end text equals 144 x squared minus 24 x plus 1](data:image/png;base64,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)
Given the area of a square, factor it to find the side length.
![text Area end text equals 144 x squared minus 24 x plus 1](data:image/png;base64,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)
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared plus 16 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared plus 16 x plus c](data:image/png;base64,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)
Maths-General
Maths-
Given the area of a square, factor it to find the side length.
Area = ![36 x squared plus 120 x plus 100](data:image/png;base64,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)
Given the area of a square, factor it to find the side length.
Area = ![36 x squared plus 120 x plus 100](data:image/png;base64,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)
Maths-General
Maths-
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
Maths-General
Maths-
Sum of length, height, and breadth of a rectangular box is 5 √3 cm and the diagonal length is 3√5 cm. Calculate the T.S.A of the rectangular box?
Sum of length, height, and breadth of a rectangular box is 5 √3 cm and the diagonal length is 3√5 cm. Calculate the T.S.A of the rectangular box?
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
7, 3.5, 1.75, 0.875, …
Describe the pattern in the numbers. Write the next number in the pattern.
7, 3.5, 1.75, 0.875, …
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![2 x squared minus 28 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![2 x squared minus 28 x plus c](data:image/png;base64,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)
Maths-General