![]() My lessons on surface area of prisms and other 3D solid bodies in this site are The total surface area of the prism is 547.06 (approximately). ![]() The lateral surface area of the prism is 360 (approximately). Therefore, the total surface area of the prism is + = 360 + 2*93.531 =Īnswer. The area of the regular hexagon at the base is Rectangle with the sides of 6 cm and 10 cm, i.e. The lateral area (the sum of the areas of the six lateral sides) is six times the area of the Problem 5Find the lateral surface area of a hexagonal prism if its base is a regular hexagon with the side measure of 6 cm, and the height of the prism is of 10 cm. ![]() The total surface area of the prism is 211.18 (approximately). The lateral surface area of the prism is 180 (approximately). So, the total surface area of the prism is + = 180 + 2*15.59 =Īnswer. Problem 4Find the lateral surface area of a triangular prism if its base is an equilateral triangle with the side measure of 6 cm, and the height of the prism is of 10 cm. The total surface area of the prism is 1008. The lateral surface area of the prism is 840. So, the total surface area of the prism is + = 840 + 2*84 = 1008. Where 21 cm is the semi-perimeter of the triangle, 21 =. The topic Area and surface area of the section Geometry in this site) The area of the triangle at the base can be calculated via the side lengths using the Heron'sįormula (see the lesson Proof of the Heron's formula for the area of a triangle under Of the perimeter of the triangle at the base and the height of the prism, i.e. The lateral area (the sum of the areas of the three lateral sides) is equal to the product Problem 3Find the lateral surface area of a triangular prism if the side measures of the triangle at the base are of 13 cm, 14 cm and 15 cm, and the height of the prism is of 20 cm. The total surface area of the prism is 132. The lateral surface area of the prism is 120. So, the total surface area of the prism is + = 120 + 2*6 = 132. To the product of the perimeter of the triangle at the base and the height of the prism The lateral area (the sum of the areas of the three lateral sides) of the prism is equal In accordance with the Pythagorean formula. ![]() The hypotenuse of the right-angled triangle at the base is equal to = 5 cm Our triangular prism is shown the Figure 2, where the green line represents the Then find the total surface area of the prism. Problem 2Find the lateral surface area of a triangular prism if its base is a right-angled triangle with the leg measures of 3 cm and 4 cm, and the height of the prism is of 10 cm. ![]() Surface area of prisms under the topic Area and surface area of the section Geometry in this site).Īnswer. Surface area of the rectangular prism via its side measures, and (see the lesson This calculation is the particular case of the general formula for the Surfaces are the rectangles of 3 cm x 5 cm. Opposite side surfaces are the rectangles of 5 cm x 4 cm, and two remaining opposite side Two opposite side surfaces of the prism are the rectangles of 3 cm x 5 cm, two other Our rectangular prism is simply a right-angled box (see the Figure 1, where the green lines Problem 1Find the surface area of a rectangular prism which has the side measures of 4 cm, 5 cm and 3 cm. The theoretical base for these problems is the lesson Surface area of prisms under the topic Area and surface area of the section Geometry in this site. In this lesson you will find typical solved problems on surface area of prisms. Solved problems on surface area of prisms ![]()
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