The answer is 3.75 cm^3.
First you have to change 12 mm to cm, which would be 1.2 cm. The formula for the volume of a triangular prism is 1/2 x a x c x h. So, 1/2 (2.5) x (1.2) x (2.5) = 3.75 cm^3
Length = 2w +5
Area = l * w
63 = 2w +5 *w
63 = 2w² +5w
2w² +5w-63=0
(2w-9) (w+7)
2w-9 = 0 w+7=0
2w-9+9=0+9 w+7-7=0-7
2w =9 w= -7
2w/2=9/2
w= 4.5
Since the width can not negative the width is 4.5
Length = 2(4.5) + 5
Length =9 +5
Length = 14
Check
Area = 4.5 * 14
63 = 63
Answer:
100
Step-by-step explanation:
C would be the answer. When you simplify the equations C does not contain a radical.