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Lateral surface area of rectangular prism with length, width and height - Rectangular Prism - Mensuration problem solver

Find the lateral surface area of a rectangular box in the shape of prism whose length is 12 cm width is 14 cm and height is 10 cm.

Lateral surface area of rectangular prism with length, width and height

length = 12
width = 14
height = 10
p =  2 * ( l + w )
perimeter = 2 * ( 12 + 14 )
perimeter = 52
So the perimeter is 52
LSA =  p * h
lateral surface area = 52 * 10
lateral surface area = 520
So the lateral surface area is 520

Explanation :

Lateral surface area of the rectangular prism means that the area of the side portion. For example it is useful for the calculation like how much it costs to paint the side portion etc. Inorder to find the lateral surface area we have to find the permeter first. Basic formula is available, so it is easy to substitute in the formula to find perimeter. And then use the perimter we found to get the final result

Rectangular prism Formulas :

LSA =  p * h

p =  2 * ( l + w )

V =  l * w * h

d =  sqrt( l * l + w * w + h * h )

h =  V / ( l * w )

l =  V / ( w * h )

w =  V / ( l * h )


where,

LSA = lateral surface area
TSA = total surface area
p = perimeter
h = height
V = volume
l = length
w = width
d = diagonal

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