# Surface area volume rectangular

The surface area and volume of a rectangular prism can be found using the following formulas:

Surface Area: SA = 2lw + 2lh + 2wh

Volume: V = lwh

where:

• l is the length of the rectangular prism
• w is the width of the rectangular prism
• h is the height of the rectangular prism

To find the surface area, we add up the areas of all six faces of the rectangular prism. The first term in the surface area formula, 2lw, represents the area of the two rectangular faces on either end of the prism. The second term, 2lh, represents the area of the two rectangular faces on the sides of the prism. The third term, 2wh, represents the area of the top and bottom faces of the prism.

To find the volume, we multiply the length, width, and height of the rectangular prism.

For example, let’s say we have a rectangular prism with length 6 cm, width 4 cm, and height 3 cm. We can find its surface area and volume using the formulas above:

Surface Area: SA = 2lw + 2lh + 2wh = 2(6 cm x 4 cm) + 2(6 cm x 3 cm) + 2(4 cm x 3 cm) = 48 cm^2 + 36 cm^2 + 24 cm^2 = 108 cm^2

So the surface area of the rectangular prism is 108 square centimeters.

Volume: V = lwh = 6 cm x 4 cm x 3 cm = 72 cm^3

So the volume of the rectangular prism is 72 cubic centimeters.

## Surface area volume rectangular step by step

the step-by-step instructions for finding the surface area and volume of a rectangular prism:

Surface Area:

1. Identify the length, width, and height of the rectangular prism. Let’s call these measurements l, w, and h, respectively.
2. Use the formula for the area of a rectangle to find the area of each rectangular face of the prism. There are two faces with area lw, two faces with area lh, and two faces with area wh.
3. Add up the areas of all six faces to find the total surface area of the rectangular prism.
4. Write your final answer with the appropriate units squared. Since surface area is measured in square units, your answer will have units of length squared.

So, the complete step-by-step process for finding the surface area of a rectangular prism can be written as:

SA = 2lw + 2lh + 2wh

where:

• SA is the surface area of the rectangular prism
• l is the length of the rectangular prism
• w is the width of the rectangular prism
• h is the height of the rectangular prism

Volume:

1. Identify the length, width, and height of the rectangular prism. Let’s call these measurements l, w, and h, respectively.
2. Use the formula for the volume of a rectangular prism to find the volume.
3. Write your final answer with the appropriate units cubed. Since volume is measured in cubic units, your answer will have units of length cubed.

So, the complete step-by-step process for finding the volume of a rectangular prism can be written as:

V = lwh

where:

• V is the volume of the rectangular prism
• l is the length of the rectangular prism
• w is the width of the rectangular prism
• h is the height of the rectangular prism

I hope this helps!