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Tcecarenko [31]
4 years ago
11

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

s volume? 500 cm 3 250 cm 3 200 cm 3 150 cm
Mathematics
2 answers:
Minchanka [31]4 years ago
8 0

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

we have

W=5\ cm

L=5\ cm

H=10\ cm

substitute

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

Sever21 [200]4 years ago
8 0

Answer:

250 CM3.

Step-by-step explanation:

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