Answer:
144 m^3
Step-by-step explanation:
Please find attached the image of the prisms
Volume of a triangular prism = area of the base x height of the prism
Area of the base = 1/2 ( base x height)
the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle
ratio of their dimensions = 6 / 1.5 = 4
the dimensions of the bigger triangle is 4 times that of the smaller triangle
height of the base of the prism = 1.5 x 4 = 6
Height of the prism = 2 x 4 = 8
Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2
Volume of the prism = 18 x 8 = 144 m^3
Answer:
B.
Step-by-step explanation:
Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.
Now substitute x=-4 in all the options
A.
16+8-8=16>0
so out of option A and C option C is correct.
B.
16-8-8=0 which means for the values of x>-4 is less than 0
Now substitute x=2 in all the options
A.
4-4-8=-8<0 . so option A and C both are incorrect.
B.
4+4-8=0 which means for the values of x<2 is less than 0
Therefore the correct option is B
70/6 is basically saying "divide 70 by 6". So to get to a mixed numer, thats what you have to do.
70/6=11.666666...
(.666666..... is 2/3 as a fraction)
The answer is 11 2/3.
hope i helped!! :))
The answer i pretty sure would be 3x