![]() ![]() Let us first identify the top and bottom face combination, to get the area of it, the sides that we have to multiply are side a and side c.Now, we have to identify 3 face combinations: (1) top and bottom, (2) front and back, and (3) right and left.Therefore, we only need to identify 3 rectangular faces.However, we know that the top and the bottom faces are the same, the left and the right faces are also the same, and the front and back faces are also the same.However, we cannot use the same method we used for computing for the surface area of a cube since the faces of a rectangular prism are not equal. Now, a rectangular prism is composed of 6 faces.To find the area of a rectangle, we just need to multiply the length and the width.Wherein s represents the length of the side.Thus, if we want to get the surface area of a cube, we need to use the equation:.But we also have to keep in mind that there are 6 faces in a cube, therefore we have to multiply it by 6.Therefore, if we want to get the surface area of a cube, we can first get the area of one face (one square).On the other hand, a cube has 6 faces and each face can be represented by a square.We know that to find the area of a square, we just need to multiply one side with another side.Let us start with the most simple three-dimensional shape – a cube.If area is the measurement of the size of a flat surface in a two-dimensional plane, then surface area is the is the measurement of the exposed surface of a shade in a three-dimensional plane.We can also use this equation to solve for other equilaterals, we just have to create a parallelogram to apply this.Thus, we can compute for the area of a trapezoid using the above equation.Therefore, we have to divide it by 2 to acquire the area of just one trapezoid.But we have to remember that the area that we are computing with the equation above is the area of the parallelogram that we have created using two trapezoids.Now that we know the values of the height and base of the parallelogram we have created, we can now substitute them to the equation we used before.Based on the diagram above, the height of the parallelogram is already given, however, for the base, we still have to compute for it. ![]() For us to identify the height and the base, we have to first label them.Remember that for us to be able to find the area of a parallelogram, we have to know its height and base.After connecting them both, we have a parallelogram.Now that we have two trapezoids, we have to flip the other one vertically and connect them in order to have a parallelogram.First, we can duplicate this trapezoid.However, we can transform this to create a parallelogram.In this case, we would not be able to use the same equation that we used in parallelograms since this is not a parallelogram.We will take a trapezoid as our special quadrilateral example.In this section, we will learn how to solve for the area of special quadrilaterals.Therefore, we can write the formula for the area of any triangle as:.And we know that to solve for an area of any parallelogram, we just multiply its base and its height.Note that any two triangles will form a parallelogram.Now that we know how to compute for the area of a right triangle, we can derive the equation that we can use to compute for the area of other triangles.Therefore, we can write the equation as:.Thus, if we solve for the area of a rectangle, we can just divide the area by 2 to find the the area of the right triangle. We divide it by 2 since we have already established that a rectangle is composed of two right triangles. Given this, we can therefore conclude that in order to find the area of a right triangle, we can just use the same formula we use to solve to the area of a rectangle but with an additional operation, which is to divide it by 2.As a refresher, remember that in order to find the area of a rectangle, we multiply its width by its length.In this section, we will solve for the area of a right triangle.Key Facts & Information AREA OF A RIGHT TRIANGLE See the fact file below for more information on the Area, Surface Area, and Volume or alternatively, you can download our 35-page Area, Surface Area, and Volume worksheet pack to utilise within the classroom or home environment. In this lesson, we will understand how we can find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes. Area, Surface Area, and Volume Worksheets.Download the Area, Surface Area, and Volume Facts & Worksheets. ![]()
0 Comments
Leave a Reply. |