To calculate the total surface area of a rectangular prism, you need to find the sum of the areas of all six faces. The formula for the total surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Measure the length, width, and height of the rectangular prism, plug the values into the formula, and perform the necessary calculations to find the total surface area.
total surface area is sum of parts of prism
we have three squares and two triangles
one of squares is bigger than others
for each one of small squares : S = a2
and we know there is two of them
for bigger square : S = 21/2 * a2
for each triangle : S = a2/2
and we remember there is two of them
Now ; Stotal = a2 + a2 + ( 21/2 * a2) + a2/2 + a2/2
Stotal = 4.4a2
To calculate the surface area of the equilateral triangular-based prism, you need to calculate the area of the equilateral triangle and all the other sides of the prism. The total area of all the phases will give the total surface are of an equilateral triangular based prism.
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To find the surface area, the surface area of each rectangular side and the surface areas of the two triangular ends must be calculated. Given an equilateral triangular prism of height X and sides Y, each side has a surface area of X * Y. The end triangles are solved by using the Pythagorean theorem (a^2 + b^2 = c^2). In this case, a and c are known as Y and Y/2, so b= square root (Y^2 - (Y/2)^2). The area of a triangle is 1/2(base * height), where the base is Y and the height is b. The total surface area is then 3 * (X * Y) + 2 * ( 1/2 * (Y * (Y^2 - (Y/2)^2))).
If the bases have sides of length a, b and c units and the length of the prism is d units thenlateral area = (a+b+c)*darea of base = sqrt{s*(s-a)*(s-b*(s-c)} where s = (a+b+c)/2Then total surface area = lateral area + 2*area of base.
The same as before. The newly exposed faces replace the lost faces, and since each face of a cube has the same area, the total remains unchanged. In fact you could even remove a cuboid rather than cube, and leave the surface area unchanged.
The total surface area of a rectangular prism with length L, breadth B and height H, is2*(LB + BH + HL) square units.
96 square feet
Properties of a rectangular prism: * A rectangular prism has a total of 6 surfaces. * Because it is rectangular it will have 4 equal longer edges and 8 equal shorter edges, and so * It will have 4 rectangular faces and 2 square faces, therefore * Total surface area = 2 x square (end ) surface + 4 x rectangular (side) surfaces If we let x = shorter edges (breadth) & y = longer edges (length), and, as area = length x breadth, then * each end (a square surface) will have an area of x2 * each side (rectangular surface) will have an area of xy Thus: Total surface area of the rectangular prism = 2 x end area + 4 x side area = 2x2 + 4xy = 2x(x + 2y) Hope this nswers your question and explains how we arrive at the formula for calculating the total surface area of a rectangular prism.
The total surface are of a rectangular prism s 2*(L*B + B*H + H*L) where L = length, B = breadth and H = height.
There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.
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The suface are of a rectangular prism is the area of each face added together for a total.
6
Oh, dude, it's like super simple. So, to find the area of a rectangular prism, you just need to calculate the total surface area by adding up the areas of all the individual faces. It's like, you find the area of the base (length x width) and then multiply it by the height of the prism. Voilà, you've got the area of a rectangular prism!
If the prism has length L, breadth B and height H, then total surface area = 2*(LB + BH + HL) square units.
22 square feet
If the lengths of the edges are x, y and z units, then the total surface area is 2*(xy + yz + zx).