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 it

Question

3 years ago

11

s volume? 500 cm 3 250 cm 3 200 cm 3 150 cm

2 answers:

Minchanka [31] · Answer 1 · 2021-11-18T03:28:41+03:00

Answer:

$V=250\ cm^{3}$

Step-by-step 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

$V=(LW)H$