Atriangular prism has a volume of 240 cubic meters which of the measurements below are not possible dimensions for the area of the base and the height of the prism

I) B = 20 m², h = 4 m are NOT possible dimensions for the area of the base and the height of the prism.

Step-by-step explanation:

Given that the triangular prism has a volume = 240 m³, we can use the formula for the volume of a triangular prism to check the given answers for possible dimensions.  V = Bh, where B = the area of the base and h = height of the prism.  In this case, we simply need to multiply each of the given dimensions together to see if they equal 240 m³:

F) B = 48 m², h = 5 m:  v = 48 x 5 = 240 m³ (possible)

G) B = 24 m², h = 10 m; v = 24 x 10 = 240 m³ (possible)

H) B = 12 m², h = 20 m: v = 12 x 24 = 240 m³ (possible)

I) B = 20 m², h = 4 m: v = 20 x 4 = 80 m³ (NOT possible)

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

a

step-by-step explanation: