![]() Plug the figures into the surface area formula and perform the needed operations. We’ll start by finding the surface area first. L = 11cm, w = 5cm, h = 3cm Solution for Example #1: Example #1: Finding SA & V of a Rectangular Prism when given Length, Width, and Heightįind the surface area and volume of the rectangular prism with the following measurements: Therefore, the volume of the rectangular prism is 61.25cm 3. Plug the figures into the formula for volume and solve. Solve for Volume:įind the volume of a rectangular prism with the following measurements: Note: Remember that all measurement units should be the same before you compute the volume. If the volume refers to the prism’s capacity, it can also be expressed in liters (L) or milliliters (mL). Volumes are expressed in cubic units such as m 3, km 3, and cm 3. The volume of a rectangular prism also tells its capacity – or the amount of space inside an object that can be filled. Where l = length of the prism w = width of the prism and h = height of the prism. Use this formula to find the volume of a rectangular prism: The volume of a rectangular prism is the total amount of space it takes up, and can be defined as the product of its length, width, and height. How to Find the Volume of a Rectangular Prism: Therefore, the surface area of the rectangular prism is 112cm². Plug the figures into the formula for surface area and solve. Solve for Surface Area:įind the surface area of a rectangular prism with the following measurements: Make sure all units are the same before you compute the surface area. Note: Surface areas are expressed in cubic units such as in 2, cm 2, km 2, m 2. Where: l = length of the prism w = width of the prism and h = height of the prism. Use one of these formulas to find the surface area of a rectangular prism: Related Reading: Area of a Rectangle – Formula & Examples Recall that the area of a rectangle is the product of its length and width: A = l The total surface area of a rectangular prism is the sum of all the areas of its six rectangular sides. ![]() How to Find the Surface Area of a Rectangular Prism: Examples of objects shaped like a rectangular prism are shoe boxes, books, buildings, and cabinets. It has a length, width, and height that make up 3 pairs of equal rectangular faces: top-bottom, left-right, and front-back. A cube is a prism, but unlike a cube that has 6 equal square faces, a rectangular prism has six rectangular faces and 12 edges. Prisms are three-dimensional objects with two equal bases or ends, flat surfaces or sides, and the same cross-section along its length. In the case of a right triangle, the base and height are the two sides that are perpendicular or at 90 degrees to each other.Let’s learn how to find the surface area and volume of a rectangular prism. Once we have the base and height, we can use the following formula: Okay, this is a little tricky, but it makes more sense looking at the picture below. The height is the distance from the vertex opposite to the base at a 90 degree angle to the base. To figure out the surface area of a triangle, we need to know the base and the height. Try this and see if you get the same answer. We could have also divided it up into these two different rectangles. Now we can add the surface area of the two rectangles: This looks confusing at first, but we can make this easier by dividing it up into two rectangles like this: ![]() What is the surface area using yards for the units? Since this is a rectangle we can use the rectangle formula: The perimeter of this football field is the sum of all the sides 100 + 50 + 100 + 50 = 300 yards. We used this same example to demonstrate how to figure the perimeter (see perimeter for kids). Let's take the more complicated example of this football field. When we give the answer for surface area we used squared to indicate that it's a surface area and not just a straight line. Note: if the units were feet for this problem, the answer would be 16 feet squared. Let's try that and see if we get the same answer: ![]() With a rectangle and square we can also get the surface area by multiplying width (W) x length (L). ![]()
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