Question

The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is its volume? 500 cm 3 250 cm 3 200 cm 3 150 cm

Answer 1

250 CM3.

Explanation:

Answer 2

`V=250\ cm^(3)`

Explanation:

step 1

Find the length of the base L

we know that

The surface area of a rectangular prism is equal to

`SA=2B+PH`

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

substitute

`SA=2(LW)+2(L+W)H`

we have

`W=5\ cm`

`H=10\ cm`

`SA=250\ cm^(2)`

substitute in the formula and solve for L

`250=2(5L)+2(L+5)10`

`250=10L+20L+100`

`30L=250-100`

`L=5\ cm`

step 2

Find the volume of the rectangular prism

The volume is equal to

`V=(LW)H`

we have

`W=5\ cm`

`L=5\ cm`

`H=10\ cm`

substitute

`V=(5*5)*10=250\ cm^(3)`