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`

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* 1+1* x+2x]\\17=2+3x\\15=3x\\x=5\ cm`

Now, the volume of Prism is given by

`V=l* w* h`

`\Rightarrow V=2*1* 5=10\ cm^3`