The volume of a cuboid is found by multiplying the width by the length by the height (our 3 dimensions!)
Contents
What is the formula of cuboid?
Cube and Cuboid Formulas – The formulas for cube and cuboid shapes are defined based on their surface areas, lateral surface areas and volume.
| Cube | Cuboid |
| Total Surface Area = 6(side) 2 | Total Surface area = 2 (length × breadth + breadth × height + length × 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) |
| Diagonal of a cube = √3(side) | Diagonal of the cuboid =√( length 2 + breadth 2 +height 2 ) |
| Perimeter of cube = 12 × side | Perimeter of cuboid = 4 (length + breadth + height) |
What is the volume of a cuboid example?
Volume of cuboid = length × breadth × height. Here, length = 14 cm, breadth = 12 cm and height = 8 cm. Volume of cuboid = 14 × 12 × 8 cubic cm. = 1344 cubic cm.
What is the cuboid volume of a cube?
Calculating volume. volume of shapes and cuboids. volume = height x width x depth.
How to find the volume?
Volume can be used to find out how much a container holds. The formula for volume is: Volume = length x width x height.
What is the formula for calculating volume of a cube?
Calculating Volume The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. This results in the formula: Volume = side * side * side. It is often written as V = s * s * s or V = s^3.
What is the formula of cuboid and cube?
Volume of Cube and Cuboid – Volume of a three-dimensional figure is defined by the space contained in it. It is the amount of space that is bounded by all the sides of the figure. It is a three-dimensional property. A cube has twelve edges of equal length and the volume of cube formula is \( a^3 \), where a is the side length of the cube.
What is cuboid 5cm by 4cm by 3cm?
= 60cm3.
What is the volume of a cuboid 4cm by 5cm by 3cm?
Volume=5∗4∗3= 60 cm3.
What is the volume of cuboid 2cm 3cm and 4cm?
Volume of a cuboid is given by length × breadth × height : Given length = 2 cm ; Breadth = 3cm and height = 4 cm ; Hence the volume = 2 × 3 × 4 = 24 cm3.
What is the volume of a cuboid in CM?
Examples of Volume of Cuboid Conversion – 1. A cuboid is having length ( l ) = 3 cm, breadth (b) = 4 cm and height (h) = 5 cm, then, we calculate the volume of a cuboid as following: Volume of cuboid = length ( l ) x breadth (b) x height (h) = 3 x 4 x 5 = 60 cubic cm or 60 cm cube.2.
- A cuboid is having length ( l ) = 10 cm, breadth (b) = 50 cm and height (h) = 60 cm, then, we calculate the volume of a cuboid as following: Volume of cuboid = length ( l ) x breadth (b) x height (h) = 10 x 50 x 60 = 30000 cubic cm or 30000 cm cube.3.
- A cuboid is having length ( l ) = 100 cm, breadth (b) = 1 cm and height (h) = 1 cm, then, we calculate the volume of a cuboid as following: Volume of cuboid = length ( l ) x breadth (b) x height (h) = 100 x 1 x 1 = 100 cubic cm or 100 cm cube.4.
A cuboid is having length ( l ) = 3.5 cm, breadth (b) = 4.5 cm and height (h) = 5 cm, then, we calculate the volume of a cuboid as following: Volume of cuboid = length ( l ) x breadth (b) x height (h) = 3.5 x 4.5 x 5 = 78.75 cubic cm or 78.75 cm cube.5.
Is the volume of a cube and cuboid the same?
To find the volume of the second (red) cuboid, you need to use the rule: volume of a cuboid = length × width × height. The dimensions of a cube are all the same, so the rule for finding the volume is: volume of a cube = length × length × length = length³.
How do you find the volume of a box in CM?
How to work out volume – The quickest way to calculate the volume of a box or parcel is to use our Volume Calculator, however, if you’d like to work out the volume for yourself, here is a very simple volume formula: Length x Width x Height If your box is 12cm x 10cm x 10cm, your volume calculation would be 12 x 10 x 10, giving you a volume of 1,200cm³.
What is the surface area and volume of a cuboid?
Total Surface Area of a Cuboid Derivation –
- As the cuboid has six rectangular faces, the total surface area of the cuboid is calculated as follows:
- Assume that, l, w, h be the length, width, and height of the cuboid respectively.
- Thus,
- The front face area of cuboid = l x h
- The back face area of the cuboid = l x h
- The top face area of the cuboid = l x w
- The bottom face area of the cuboid = l x w
- The left face area of the cuboid = h x w
- The right face area of cuboid = h x w
- Hence, the total surface area is the sum of all the faces of a cuboid, then the TSA of a cuboid is:
- Total Surface Area of Cuboid = lh + lh + lw+ lw+ hw+ hw
- Total Surface Area of Cuboid = 2 lh + 2 lw + 2 hw
- Total Surface Area of Cuboid = 2 (lh + lw+ hw)
- Therefore, the total surface area of the cuboid is 2 (lh + lw+ hw) square units.
Is cube and cuboid same?
What is the Main Difference between a Cube and a Cuboid? – A cube and a cuboid look very similar to each other in structure but both shapes have their own properties based on edge, length, diagonals, and faces. The main difference between a cube and a cuboid is that a cube has six square-shaped faces of the same size but a cuboid has rectangular faces.
What is a formula of cube?
Cube Formula (Perfect Cube Formula) – Definition, Solved Examples Cube of any digit, forms by multiplying the digit by itself three times. For instance, to find the cube of 5, i.e.5 3, we need to multiply 5 three times: 5 × 5 × 5 = 125, Here, the number 3 on the exponent’s place means the number appears three times during the multiplication process.
Based on this, we can also write the volume of cube formula since cube has equal length, breadth and height.Length = Breadth = Height = aThus, the measure of each edge of the cube = aTherefore, the volume of cube formula is a × a × a = a 3,It is to be noted that the number obtained using cube formula is the perfect cube number.
Question 1: What is the cube of 15? Solution: The formula for calculating cube is, \(\begin x^ = x \times x \times x\end \) Here, x = 15 \(\begin 15^ = 15 \times 15 \times 15\end \) Therefore, \(\begin 15^ = 3375\end \) What is the value of x if \(\begin x^ =27\end \) ? Solution: The formula for calculating cube is, \(\begin x^ = x \times x \times x\end \) Here, \(\begin x^ =27\end \) \(\begin x=\sqrt \end \) Therefore, \(\begin x = 3\end \) : Cube Formula (Perfect Cube Formula) – Definition, Solved Examples
What is cuboid Euler’s formula?
Solved Examples on Euler’s Formula for Polyhedra –
- Example 1:
- Prove the Euler’s formula for a triangular prism.
- Solution:
- Number of vertices of a triangular prism = 6
- Number of edges of a triangular prism = 9
- Number of faces of a triangular prism = 5
- By the Euler’s formula
- V – F + E = 6 – 9 + 5 = – 3 + 5 = 2
- ⇒ V – F + E = 2
- Thus, Euler’s formula is satisfied for a triangular prism.
- Example 2:
- Is cuboid a polyhedron?
- Solution:
- If cuboid is a polyhedron then it must satisfy Euler’s formula for polyhedra.
- Number of edges, e = 12
- Number of vertices, v = 8
- Number of faces, f = 6
- By the Euler’s formula:
- v – e + f = 8 – 12 + 6 = –4 + 6 = 2.
- ⇒ v – e + f = 2.
which satisfies the Euler’s formula. Hence, the cuboid is a polyhedron.
