Mensuration >> Triangular Prism

Lsa, tsa and area of triangular prism - Triangular Prism - Mensuration problem solver

The base of a right prism is a right angled triangle of side 8 cm, 15 cm and 17 cm (a,b,c). Its height is 20 cm. Find the lateral surface area and the total surface area of the prism. (Note: In a right angled triangle the longest side is called as the hypotenuse. The other two sides may be taken as either as the base or the height of the triangle).


a = 8
b = 15
c = 17
height = 20
p =  a + b + c
perimeter = 8 + 15 + 17
perimeter = 40
So the perimeter is 40
lsa =  p * h
lateral surface area = 40 * 20
lateral surface area = 800
So the lateral surface area is 800
area = 800
tsa =  ( p * h ) + 2 * A
total surface area = ( 40 * 20 ) + 2 * 800
total surface area = 2400
So the total surface area is 2400

Triangular prism Formulas :

p =  a + b + c

lsa =  p * h

h =  lsa / p

tsa =  ( p * h ) + 2 * A

A = (1/2) * base * th

V =  A * h

base = (2 * A ) / th

th = (2 * A ) / base


where,

lsa = lateral surface area
tsa = total surface area
p = perimeter
h = height
a = a
b = b
c = c
A = area
V = volume
base = base
th = height of triangle

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