The lateral surface area of a prism is the sum of the areas of its lateral faces.
The total surface area of a prism is the sum of the areas of its lateral faces and its two bases.
Usually, if "right" or "oblique" is not mentioned, you can assume the prism is a right prism.
The general formula for the lateral surface area of a right prism is L . S . A . = p h where
p represents the perimeter of the base and h represents the height of the prism.
Example 1:
Find the lateral surface area of a triangular prism with bases edges 3 inches, 4 inches and 5 inches and altitude 8 inches.
The perimeter is the sum of the bases.
p = 3 + 4 + 5 = 12 inches
Lateral Surface Area = 12 ( 8 ) = 96 inches 2
The general formula for the total surface area of a right prism is T . S . A . = p h + 2 B where p represents the perimeter of the base, h the height of the prism and B the area of the base.
There is no easy way to calculate the surface area of an oblique prism in general. The best way is to find the areas of the bases and the lateral faces separately and add them.
Example 2:
Find the total surface area of an isosceles trapezoidal prism with parallel edges of the base 6 cm and 12 cm, the legs of the base 5 cm each, the altitude of the base 4 cm and height of the prism 10 cm.
The perimeter of the base is the sum of the lengths of the sides.
p = 6 + 5 + 12 + 5 = 28 cm
Since the base is an isosceles trapezoid, its area is 1 2 h ( b 1 + b 2 ) .
B = 1 2 ( 4 ) ( 6 + 12 ) = 36 cm 2
T . S . A . = p h + 2 B = 28 ( 10 ) + 2 ( 36 ) = 280 + 72 = 352 cm 2
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✖Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side A [Sa] | +10% -10% | ||
✖Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side B [Sb] | +10% -10% | ||
✖Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side C [Sc] | +10% -10% | ||
✖Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Height [h] | +10% -10% |
✖The Lateral Surface Area of an object is the area of all the sides of the object, excluding the area of its base and top.ⓘ Lateral surface area of Triangular Prism [SALateral] | ⎘ Copy |
Lateral surface area of Triangular Prism Solution
STEP 0: Pre-Calculation Summary
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Side B: 7 Meter --> 7 Meter No Conversion Required
Side C: 4 Meter --> 4 Meter No Conversion
Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
STEP 3: Convert Result to Output's Unit
228 Square Meter --> No Conversion Required
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8 Area of Triangular Prism Calculators
Lateral surface area of Triangular Prism Formula
Lateral Surface Area = (Side A+Side B+Side C)*Height
SALateral
= (Sa+Sb+Sc)*h
How to define a Triangular Prism?
A triangular prism is a three-dimensional figure with three rectangular faces and two triangular bases. It has 6 vertices, 9 edges, and 5 faces. The bases are parallel and congruent to each other.
How to Calculate Lateral surface area of Triangular Prism?
Lateral surface area of Triangular Prism calculator uses Lateral Surface Area = (Side A+Side B+Side C)*Height to calculate the Lateral Surface Area, Lateral surface area of Triangular Prism is defined as the surface area of all the sides excluding top and base sides provided the value of side lengths and height of a triangular prism for calculation. Lateral Surface Area is denoted by SALateral symbol.
How to calculate Lateral surface area of Triangular Prism using this online calculator? To use this online calculator for Lateral surface area of Triangular Prism, enter Side A (Sa), Side B (Sb), Side C (Sc) & Height (h) and hit the calculate button. Here is how the Lateral surface area of Triangular Prism calculation can be explained with given input values -> 228 = (8+7+4)*12.
FAQ
What is Lateral surface area of Triangular Prism?
Lateral surface area of Triangular Prism is defined as the surface area of all the sides excluding top and base sides provided the value of side lengths and height of a triangular prism for calculation and is represented as SALateral = (Sa+Sb+Sc)*h or Lateral Surface Area = (Side A+Side B+Side C)*Height. Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back & Height is the distance between the lowest and highest points of a person/ shape/ object standing upright.
How to calculate Lateral surface area of Triangular Prism?
Lateral surface area of Triangular Prism is defined as the surface area of all the sides excluding top and base sides provided the value of side lengths and height of a triangular prism for calculation is calculated using Lateral Surface Area = (Side A+Side B+Side C)*Height. To calculate Lateral surface area of Triangular Prism, you need Side A (Sa), Side B (Sb), Side C (Sc) & Height (h). With our tool, you need to enter the respective value for Side A, Side B, Side C & Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.