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To find the diagonal in a cuboid, we use Pythagoras' Theorem in 3 dimensions. If we call the diagonal D, and the 3 dimensions of the cuboid (length, width, height) a, b and c:
D=sqrt(a2+b2+c2)
Example: The cuboid has dimensions of 4, 6 and 8. Find the Diagonal.
D=sqrt(42+62+82)
D=sqrt(16+36+64)
D=sqrt(116)
D=10.8 (3sf)
Diagonal = 10.8 (3sf)
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How do you find the side of a square if you know its diagonal?
Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.
How do you find the area of a missing side of a cuboid?
The answer depends on what information is provided: the volume, total surface area, principal diagonal, minor diagonal, etc.
How can you find the length of a diagonal without measuring i?
If you know the length of the sides but not the diagonal, you can use the Pythagorean Theorem.
Formulas of cuboid?
Following are the formulas of cuboid. Let the dimensions of the cuboid be l (length), w(width) and h (height). Lateral surface area of the cuboid = perimeter of rectangular base x height = 2(l + w)h square units= 2h(l + w) square units; Total surface area (TSA) = 2 (lw + wh + hl); Volume of cuboid (V) = lwh. Length of diagonal of one side is √(l^2 + w^2), √(w^2 + h^2), √(h^2 + l^2) - depending upon side. Length of diagonal across the cuboid is √(l^2 + w^2 + h^2)
What Formula to find volume of a cuboid?
Volume = Length * Width * Height
A cuboid measures 8 cm by 12 cm by 15 cm calculate the length of the longest diagonal of the cuboid?
Using Pythagoras' theorem the longest exterior diagonal is 19.209 cm to 3 dp
How do you find the area of a cuboid?
length *width*height=area of cuboid
How do you find the side of a square if you know its diagonal?
Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.
The perimeter of a rhombus is 40cm and the length of one diagonal is 16cm find the length of the other diagonal?
The length of the other diagonal works out as 12cm
How do you find the diagonal of a rectangle if you know the length and the angle?
You need to use trigonometry cosine (angle) = length/diagonal diagonal = length/cos(angle)
How do you find the area of a missing side of a cuboid?
The answer depends on what information is provided: the volume, total surface area, principal diagonal, minor diagonal, etc.
The length of a rectangle is 2 cm and the width is 3 cm Find the length of the diagonal?
The diagonal is 3.61cm
How can you find the length of a diagonal without measuring i?
If you know the length of the sides but not the diagonal, you can use the Pythagorean Theorem.
What is the formula to find the volume of a cuboid?
Volume of a cuboid = cross-section area times its length
When you know the sum of lengths of diagonal of a square how to find each diagonal?
To find the length of each diagonal of a square, divide the sum of the diagonal lengths by 2. Since a square has two diagonals of equal length, this division will give you the length of each diagonal.
Formulas of cuboid?
Following are the formulas of cuboid. Let the dimensions of the cuboid be l (length), w(width) and h (height). Lateral surface area of the cuboid = perimeter of rectangular base x height = 2(l + w)h square units= 2h(l + w) square units; Total surface area (TSA) = 2 (lw + wh + hl); Volume of cuboid (V) = lwh. Length of diagonal of one side is √(l^2 + w^2), √(w^2 + h^2), √(h^2 + l^2) - depending upon side. Length of diagonal across the cuboid is √(l^2 + w^2 + h^2)
How do you count the number of squares crossed by the diagonal in a rectangle?
To find the length of a diagonal in a rectangle, use the Pythagorean method. Diagonal length = square root(length squared + height squared).
