Table of Contents
- 1 How do you find the volume of a cuboid when given the diagonal?
- 2 What is the formula to find the diagonal of a cuboid?
- 3 What is diagonal cube?
- 4 What is the formula of the height of a cuboid?
- 5 How to find the length of the diagonal of a cuboid?
- 6 What are some examples of problems solved using cuboid formulas?
How do you find the volume of a cuboid when given the diagonal?
The volume of a cuboid is given by $l \times b \times h$, where l, b and h are respectively the length, breadth and height of the cuboid.
How do you find the surface area of a diagonal cuboid?
- Let sum of the length , breadth and height of a cuboid is S (given) and length of the diagonal is d (given) .
- a+b+c = S………………(
- a^2+b^2+c^2=d^2………(
- Total surface area of cuboid = 2.
- Formula:-
- (x+y+z)^2 = x^2+y^2+z^2+2.
- or.
- Thus , total surface area of the cuboid = (a+b+c)^2-(a^2+b^2+c^2).
What is the formula to find the diagonal of a cuboid?
Diagonal of a cuboid = l^2+b^2+h^2.
How do you find the length width and height of a cuboid?
Tag: height of a cuboid
- Calculating the Length of a cuboid when Volume, Width and Height are Given. The formula is l = V / (w)(h)
- Calculating the Width of a cuboid when Volume, Length and Height are Given. The formula is w = V / (l)(h)
- Calculating the Height of a cuboid when Volume, Length and Width are Given.
What is diagonal cube?
A cube is a three-dimensional solid figure. The main diagonal of a cube is the one that cuts through the centre of the cube; the diagonal of a face of a cube is not the main diagonal. The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3.
What is the formula of total surface area of cube?
Explanation: The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube.
What is the formula of the height of a cuboid?
Cube and Cuboid Formulas
| Cube | Cuboid |
|---|---|
| Total Surface Area = 6(side)2 | Total Surface area = 2 (Length x Breadth + breadth x height + Length x height) |
| Lateral Surface Area = 4 (Side)2 | Lateral Surface area = 2 height(length + breadth) |
| Volume of cube = (Side)3 | Volume of the cuboid = (length × breadth × height) |
What is the formula of volume of cuboid?
The formula of volume of a cuboid is = Length × Width × Height.
How to find the length of the diagonal of a cuboid?
The length of the diagonal of a cuboid of dimensions l, b and h is given by the formula: Diagonal = √(l 2 + b 2 + h 2 ) Diagonal = √(l 2 + b 2 + h 2 ) units
What is the formula for measuring the surface area of a cuboid?
Cuboid Formulas Measure Formula Lateral Surface Area (LSA) 2h (l + b) Total Surface Area (TSA) 2 (lb + bh + hl) Volume lbh Diagonal √ (l 2 + b 2 + h 2)
What are some examples of problems solved using cuboid formulas?
Below are some example problems solved using the formulas of cuboid. Find the volume of a cuboid of length 10 cm, breadth 8 cm and height 4 cm. Calculate the lateral and total surface area of a cuboid of dimensions 12 cm × 7 cm × 5 cm.
What are the dimensions of a cuboid in cm?
Given dimensions of a cuboid are 12 cm × 7 cm × 5 cm. What is the difference between cube and cuboid? The main difference between the cube and cuboid is their faces, i.e. the cube has six square shaped faces, whereas cuboid has six rectangular faces.