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?

Question

asked Sep 13, 2022 77.1k views

1 Answer

Rik Leigh · Answer 1 · 2022-09-18T06:56:03+0000

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

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