The surface area of a rectangular prism is 208 cm squared. Two of the dimensions are two cm and 10 cm. Find the measure of the other dimension.

Mathematics · College · Tue Nov 03 2020

Answered on

Formula used :

Surface area of prism = 2(lw + wh + hl)

Given :

Surface area of prism = 208 cm²

Let length = 2 cm

Width = 10 cm

Then, height = x

So, 208 = 2(2×10 + 10x + 2x)

208/2 = 20 + 12x

104 - 20 = 12x

12x = 84

x = 84/12

x = 7

 

Hence, other dimension is 7 cm.

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