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82 + 152 = 64 + 225 = 289 = 172 So, by Pythagoras, the cross section of the prism is a right angled triangle.
So cross-sectional area of the prism is 8*15/2 = 60 square units.
So area of two "ends" is 120 square units.
Area along the height = (8+15+17)*5 = 40*5 = 200 square units so total surface area = 120 + 200 = 320 square units.
It is not necessary to prove that the end face is a right angled triangle but doing so makes it easier to calculate its area.
What else can I help you with?
Find the lateral area of a hexagonal prism where all edges are 10cm and the height is 16cm?
960.
Find the lateral area of a rectangular prism if the base edges are 8in and 5in and the height is 13in?
338
Is the formula for the area of any prism the same?
yes. base area x height lxwxh No. Above answer gives volume not surface area. Surface area formula will differ depending on type of prism.
How does one determine the surface area of a rectangular prism?
To determine the surface area of a rectangular prism, the two sides, adjacent sides, and ends of the prism must be added up. To do this, the sides are the product of the prism's length and height, the adjacent sides the width and height, and the ends the product of the length and width.
How do you find the surface area of a rectangular prism with a length of 20 cm a width of 5 cm and a depth of 3 cm?
-- Picture the rectangular prism in your mind, or sketch it on paper.-- Label the edges with the dimensions.-- Notice that . . .- The area of the top and bottom faces is (length x width), and there are two of them.- The area of the left and right sides is (length x height), and there are two of them.- The area of the front and back ends is (width x height), and there are two of them.-- So the total surface area of the rectangular prism is(2) x [ (length x width) + (length x height) + (width x height) ] .
What is the surface area of a prism?
The surface area of a prism is the two bases and all the sides A = 2 *area of base + Perimeter of base * Height of prism.
Surface area and volume of a right prism?
The surface are of a right prism is equal to twice the area of its base plus the perimeter of the base multiplied with the height of the prism. The volume can be determined by multiplying the Area of the base by the height of the prism.
What is Ph in the formula for the surface area of a prism?
perpendicular height
How do you find the volume and surface area of a triangle or prism?
The Surface area of a triangle = 0.5*base*height The volume of a prism = area of its cross-section*length
What is the formula for area of a prism?
if you mean surface area, the area of the base multiplied by the height
What is the formula for calculating the surface area of a prism, specifically focusing on the angle of prism?
The formula for calculating the surface area of a prism is SA 2B Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the prism. The angle of the prism does not directly affect the surface area calculation.
Area surface of a prism?
The surface area of a prism is calculated by adding the area of the walls to the area of the top and bottom. The area of the walls is calculated by multiplying the perimeter of the top by the height of the wall.
Find the lateral area of a hexagonal prism where all edges are 10cm and the height is 16cm?
960.
Surface area of rectangular prism?
The surface area of a rectangular prism can be calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism, respectively. This formula accounts for the two faces of each dimension (length, width, and height) on the rectangular prism.
What is the surface area of a circular based prism?
The surface area of a circular based prism is (2pi x radius squared) + (2pi x radius x height)
Find the lateral area of a rectangular prism if the base edges are 8in and 5in and the height is 13in?
338
What is the formula for the surface area of a right prism?
Type your answer hereThe surface area of a prism is square root of 3* a 2 /4 + 3*a*h where a is edge of equilateral triangle and h is height of prism
