Question

The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm, and the height is x?

Answer 1

Answer: $10\ cm^3$

Step-by-step explanation:

Given

The surface area of a rectangular prism is $34\ cm^2$

Width of prism $w=1\ cm$

Length of prism $l=2\ cm$

height of prism $h=x\ cm$

Surface area is given by

$S.A.=2[lw+wh+hl]$

Put values

$34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm$

Now, the volume of Prism is given by

$V=l\times w\times h$

$\Rightarrow V=2\times1\times 5=10\ cm^3$