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Find the surface area if cuboid having length 5-1/2cm breadth 4 cm and height 10-1/2?
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Find the surface area if cuboid having length 5-1/2cm breadth 4 cm and...
To find the surface area of a cuboid with length 5-1/2cm, breadth 4cm, and height 10-1/2cm, we can use the following formula:
Surface Area = 2(lb + bh + hl)
where l is the length, b is the breadth, and h is the height of the cuboid.
In this case, the length is 5-1/2cm, the breadth is 4cm, and the height is 10-1/2cm. Plugging these values into the formula, we get:
Surface Area = 2((5-1/2cm * 4cm) + (4cm * 10-1/2cm) + (5-1/2cm * 10-1/2cm))
Surface Area = 2((22cm^2) + (42cm^2) + (57cm^2))
Surface Area = 2(121cm^2)
Surface Area = 242cm^2
Therefore, the surface area of the cuboid is 242cm^2. This is the total area of all six faces of the cuboid, calculated using its length, breadth, and height.
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Find the surface area if cuboid having length 5-1/2cm breadth 4 cm and...
Surface Area of a Cuboid
To find the surface area of a cuboid, we need to calculate the area of all its faces and then add them together. A cuboid has six faces: a pair of opposite faces are congruent and parallel rectangles, and the other four faces are congruent and parallel rectangles as well.
Given values:
Length = 5-1/2 cm
Breadth = 4 cm
Height = 10-1/2 cm
Calculating the Area of Each Face
1. Top Face: The top face is a rectangle with length equal to the length of the cuboid and breadth equal to the breadth of the cuboid.
Area of the top face = Length * Breadth
2. Bottom Face: The bottom face is also a rectangle with the same dimensions as the top face.
Area of the bottom face = Length * Breadth
3. Front Face: The front face is a rectangle with length equal to the length of the cuboid and height equal to the height of the cuboid.
Area of the front face = Length * Height
4. Back Face: The back face is also a rectangle with the same dimensions as the front face.
Area of the back face = Length * Height
5. Left Side Face: The left side face is a rectangle with breadth equal to the breadth of the cuboid and height equal to the height of the cuboid.
Area of the left side face = Breadth * Height
6. Right Side Face: The right side face is also a rectangle with the same dimensions as the left side face.
Area of the right side face = Breadth * Height
Calculating the Surface Area of the Cuboid
Now, we can calculate the area of each face and add them together to find the total surface area of the cuboid.
Total Surface Area = 2(Area of the top face) + 2(Area of the front face) + 2(Area of the left side face)
Total Surface Area = 2(Length * Breadth) + 2(Length * Height) + 2(Breadth * Height)
Using the given values:
Length = 5-1/2 cm = 5.5 cm
Height = 10-1/2 cm = 10.5 cm
Breadth = 4 cm
Total Surface Area = 2(5.5 * 4) + 2(5.5 * 10.5) + 2(4 * 10.5)
Total Surface Area = 2(22) + 2(57.75) + 2(42)
Total Surface Area = 44 + 115.5 + 84
Total Surface Area = 243.5 cm²
Therefore, the surface area of the given cuboid is 243.5 cm².
To find the surface area of a cuboid, we need to calculate the area of all its faces and then add them together. A cuboid has six faces: a pair of opposite faces are congruent and parallel rectangles, and the other four faces are congruent and parallel rectangles as well.
Given values:
Length = 5-1/2 cm
Breadth = 4 cm
Height = 10-1/2 cm
Calculating the Area of Each Face
1. Top Face: The top face is a rectangle with length equal to the length of the cuboid and breadth equal to the breadth of the cuboid.
Area of the top face = Length * Breadth
2. Bottom Face: The bottom face is also a rectangle with the same dimensions as the top face.
Area of the bottom face = Length * Breadth
3. Front Face: The front face is a rectangle with length equal to the length of the cuboid and height equal to the height of the cuboid.
Area of the front face = Length * Height
4. Back Face: The back face is also a rectangle with the same dimensions as the front face.
Area of the back face = Length * Height
5. Left Side Face: The left side face is a rectangle with breadth equal to the breadth of the cuboid and height equal to the height of the cuboid.
Area of the left side face = Breadth * Height
6. Right Side Face: The right side face is also a rectangle with the same dimensions as the left side face.
Area of the right side face = Breadth * Height
Calculating the Surface Area of the Cuboid
Now, we can calculate the area of each face and add them together to find the total surface area of the cuboid.
Total Surface Area = 2(Area of the top face) + 2(Area of the front face) + 2(Area of the left side face)
Total Surface Area = 2(Length * Breadth) + 2(Length * Height) + 2(Breadth * Height)
Using the given values:
Length = 5-1/2 cm = 5.5 cm
Height = 10-1/2 cm = 10.5 cm
Breadth = 4 cm
Total Surface Area = 2(5.5 * 4) + 2(5.5 * 10.5) + 2(4 * 10.5)
Total Surface Area = 2(22) + 2(57.75) + 2(42)
Total Surface Area = 44 + 115.5 + 84
Total Surface Area = 243.5 cm²
Therefore, the surface area of the given cuboid is 243.5 cm².
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Find the surface area if cuboid having length 5-1/2cm breadth 4 cm and height 10-1/2? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the surface area if cuboid having length 5-1/2cm breadth 4 cm and height 10-1/2? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the surface area if cuboid having length 5-1/2cm breadth 4 cm and height 10-1/2?.
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