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A right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. The dimensions of the prism are doubled.



What is the surface area of the enlarged prism?



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Verified Answer :

taskmasters

the formula for the surface area of a prism is
A = 2 (wh + wl + lh)
where A is the surface area
w is the width
l is the length
h is the height

w = 8 x 2 = 16
l = 6 x 2 = 12
h = 4 x 2 = 8
substitute to the given formula

A = 2 ( (16 x 12) + ( 16 x 8 ) + ( 12 x 8) )
A = 832 sq cm is the surface area of the new rectangular prism

abidemiokin

If the dimensions of the prism are doubled, then the surface area of the enlarged prism will be 2(208) = 416 cm²

How to find the area of a prism

The formula for calu=culating the surface area of a prism is expressed as:

S = 2(lw + wh + lh)

Given the following

  • l = 6cm
  • w = 8cm
  • h = 4cm

Substitute the parameters

S = 2(48 + 24 + 32)

S = 2(104)

S = 208 cm²

If the dimensions of the prism are doubled, then the surface area of the enlarged prism will be 2(208) = 416 cm²

Laern more on surface area of prism here: https://brainly.com/question/1297098

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