Volume and surface area of triangular prisms

Learning Objectives Identify the components of a triangular prism, including its bases, lateral faces, and height. Calculate the area of a triangular base using the formula A = 1/2 * base * height. Determine the volume of a triangular prism using the formula V = Area_of_base * height_of_prism. Calculate the area of rectangular lateral faces of a triangular prism. Compute the total surface area of a triangular prism by summing the areas of all its faces. Distinguish between the height of the triangular base and the height of the prism. Solve real-world problems involving the volume and surface area of triangular prisms. Ever wondered how much space is inside a tent, or how much wrapping paper you'd need for a triangular chocolate bar? 🏕️🎁 In this lesson, you'll...

TermDefinitionExample Triangular PrismA three-dimensional shape that has two parallel and identical triangular bases, and three rectangular sides (called lateral faces) connecting the bases.A slice of cheese shaped like a triangle, extended straight back, forms a triangular prism. Base (of a prism)For a triangular prism, these are the two identical triangular faces that are parallel to each other. They define the shape of the prism.In a tent, the floor and the top triangular opening are the bases of the prism. Height (of a prism)The perpendicular distance between the two triangular bases of the prism. This is different from the height of the triangular base itself.If a triangular prism is lying on its side, its length would be its height. VolumeThe amount of three-dimensional space an obj...

Area of a Triangle $A = \frac{1}{2} \times b \times h$ Use this formula to find the area of one of the triangular bases of the prism, where 'b' is the length of the triangle's base and 'h' is its perpendicular height. Volume of a Triangular Prism $V = A_{base} \times H$ To find the volume of a triangular prism, multiply the area of one of its triangular bases ($A_{base}$) by the height of the prism ($H$), which is the distance between the two bases. Area of a Rectangle $A = l \times w$ Use this formula to find the area of each rectangular lateral face of the prism, where 'l' is the length and 'w' is the width of the rectangle. Surface Area of a Triangular Prism $SA = 2 \times A_{base} + A_{lateral\_faces}$ The tota...