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
llm
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.