![]() The surface area of the prism is 2 0 4 u n i t . Where □ and □ are its two parallel sides and ℎ its height. Let us work out the area of the base of the prism. We can of course work out the area of each rectangular face individually and sum up all together we find the same result. Its area is given by multiplying its length by its width. We clearly see on the net that they form a large rectangle of length the perimeter of the base and width the height of the prism, The lateral surface area of the prism is the area of all its rectangular faces that join the two bases. Rectangle whose dimensions are the height of the prism and the perimeter of the prism’s base. The surface area of a prism: on the net of a prism, all its lateral faces form a large In the previous example, we have found an important result that can be used when we work out The surface area of the prism is 7 6 u n i t . t o t a l b a s e l a t e r a l u n i t Implement this fact and find the surface areas of the prisms. ![]() ![]() Simply put, the surface area of a 3d figure is nothing but the area of its net. If you add the area of these five shapes using their respective formulas, you’ll end up in the surface area. To find the total surface area of the prism, we simply need to add two times the area of theīase (because there are two bases) to the lateral area. Visualize the net of a triangular prism made of three rectangles and two congruent triangles. We do find the same area however we compose rectangles to make the base. We can of course check that we find the same area with adding the area of two rectangles Or as the rectangle of length 5 and width 4 from which the rectangle of length We know that (a + b + c) is the perimeter of the base (triangle). The base can be seen as made of two rectangles, Lateral surface area of triangular prism (LSA) ah + bh + ch (or) (a + b + c) h. We need to find the area of the two bases. Prism, which is given by multiplying its length by its width: Now, we can work out the area of the large rectangle formed by all the lateral faces of the The missing lengths can be easily found given that all angles in the bases are right angles. The width of the rectangle formed by all lateral faces is actually the perimeter of the base. Where □ and □ are the two missing sides of the base of the prism. They form a large rectangle of length 3 and width ![]() We see that all the rectangles have the same length: it is the height of the prism, ![]() So, the surface area of a square pyramid is the sum of the area of four of its triangular side faces and the base area.On the net, the rectangular faces between the two bases are clearly to be seen. All the triangles are isosceles and congruent to each other. Solution: We know that a square pyramid has a square base and 4 triangular faces. The lateral surface area (LSA) of a triangular prism is the sum of the surface area of all its faces except. It is expressed in square units such as m 2, cm 2, mm 2, and in 2. 1) What is the surface area of a pyramid with a square base whose side length is 3 cm and has a slant height of 4cm? The surface area of a triangular prism is the entire space occupied by its outermost layer (or faces). ![]()
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