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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
