**How To Find Surface Area of a Rectangular Prism**

Find the surface area of a rectangular prism with dimensions h, w, and d. You may use the Pythagorean Theorem or Heron’s Formula to find the surface area. Steps Method 1 Using the Pythagorean Theorem You can use the Pythagorean Theorem to find the surface area of a rectangular prism. Step Calculate the length of one side. Step Calculate the length of the other two sides using the Pythagorean Theorem.

Step The area is the length times the width times the height. Use the Pythagorean Theorem to find the surface area of a rectangular prism with dimensions h, w, and d. You can use the Pythagorean Theorem or Heron’s Formula to find the surface area. Use the Pythagorean Theorem. Find the surface area of a rectangular prism with dimensions h, w, and d. Use the Pythagorean Theorem or Heron’s Formula to find the surface area.

**What Is a Rectangular Prism?**

Rectangular prisms are three-dimensional solids with six faces and rectangular shapes on each face. Each of the six faces is at a right angle to the others. Opposite faces are congruent.A cube, with all six faces congruent, is a special type of rectangular prism.

A rectangular prism has two kinds of faces: the front and back faces. The front face is parallel to the base of the prism. The back face is perpendicular to the base. The front and back faces are perpendicular to each other. The base is the length of the side of the rectangle and is the same for all of the sides. Rectangular prisms have two kinds of edges: long edges and short edges. The long edges are parallel to the base of the prism. The short edges are perpendicular to the base.

The volume of a rectangular prism is defined as the product of its height, width, and length. The volume is calculated by multiplying the height times the width times the length. The area of a rectangular prism is the product of its length and width. The area of the front face is equal to the area of the back face, and each side has an area of one-half the area of the front or back face. A rectangular prism may be considered a three-dimensional version of a flat box. The box has the same volume as the prism.

**What Is the Surface Area ofa Rectangular Prism?**

Rectangular prisms have six faces, so their surface area is their total surface area. Since the area of one face of a cube is six times the area of one face, finding the surface area of the solid very quickly is possible with a cube.

**Surface Area Of a Rectangular Prism Formula**

Finding a surface area for all rectangular prisms (including cubes) involves both addition and multiplication. You must know the width, length, and height of the prism before you can apply this formula:

A = 2(width × length) + 2(length × height) + 2(height × width) A = 2(width × length) + 2(length × height) + 2(height × width)

We can use common abbreviations for width (WW), length (ll), and height (hh) and recast the formula:

A = 2wl + 2lh + 2hwA = 2wl + 2lh + 2hw

We can simplify that by factoring out the 2:

You are tracking down all six faces of a rectangular prism in pairs since every face of a rectangular prism has an opposite face. You can keep track of which faces you have measured by using the formula, which prevents confusion. It is only necessary to have three dimensions.

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