How do I find the length of a cuboid from it's surface area?

Let's assume that the surface area, height, and width are 288, 4, and 6 cm, respectively. Here is what we do: Use the surface area formula: s = 2(l×w + w×h + l×h) sq units. Make l the subject of the formula: l = (s/2 - wh)/(w+h) units. Substitute the values: l = (288/2 - 6 × 4)/(4+6) cm. Solve l = ( (144 - 24) / 10) cm. l = 120/10 cm. l = 12 cm.

Cuboid Surface Area Calculator

Last updated: July 30, 2024313 people find this calculator helpful

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Are you at a loss as to how to calculate the surface area of a cuboid? Our cuboid surface area calculator will help you to sort out any questions or doubts you may have quickly and easily. Keep reading to learn:

The meaning of cuboid;
How many vertices a cuboid has;
How to use our surface area of a cuboid calculator;
The surface area of a cuboid formula; and
How to find the surface area of a cuboid manually.

What does the word cuboid mean?

A cuboid is a solid convex shape with each of its six faces shaped like a rectangle. It is also known as a rectangular prism. Some good real-world examples of cuboids are:

A book;
A mattress; and
A brick.

How many vertices does a cuboid have?

A cuboid has eight vertices. The vertices of a cuboid all form angles of 90 degrees.

How to use this surface area of a cuboid calculator

To use the surface area of a cuboid calculator, enter the following:

Length
Width; and
Height of the cuboid.

Our calculator will immediately return the total surface area of the solid.

Keep in mind you can use any units you wish - our tool will deal with it.

How to find the surface area of a cuboid

To find the surface area of the cuboid(s), you first need to:

Know the length (l), width (w), and height (h) of the shape.
Use the surface area of a cuboid formula:

s=2(l\timesw+w\timesh+l\timesh) sq units

s=2(l×w+w×h+l×h) sq units

Substitute the values for length, width and height - say 10, 7, and 8 cm, respectively. Then solve the equation

s = 2 ((10 \times 7) + (7 \times 8) + (10 \times 8)) cm^{2}

s=2((10×7)+(7×8)+(10×8)) cm2

Then solve the equation:

s = 2 ((10 \times 7) + (7 \times 8) + (10 \times 8)) cm^{2} = 2 ((70) + (56) + (80)) cm^{2} = 2 (206) cm^{2} = 412 cm^{2}

s=2((10×7)+(7×8)+(10×8)) cm2=2((70)+(56)+(80)) cm2=2(206) cm2=412 cm2

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FAQs

How do I find the length of a cuboid from it's surface area?: Let's assume that the surface area, height, and width are 288, 4, and 6 cm, respectively. Here is what we do: Use the surface area formula: s = 2(l×w + w×h + l×h) sq units. Make l the subject of the formula: l = (s/2 - wh)/(w+h) units. Substitute the values: l = (288/2 - 6 × 4)/(4+6) cm. Solve l = ( (144 - 24) / 10) cm. l = 120/10 cm. l = 12 cm.

Cuboid Surface Area Calculator

What does the word cuboid mean?

How many vertices does a cuboid have?

How to use this surface area of a cuboid calculator

How to find the surface area of a cuboid

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