A right rectangular prism has a length of 1.75 inches, a width of 2 inches, and a height of 1.5 inches.

A prism has a length of 1.75 inches, height of 1.5 inches, and width of 2 inches.

What is the greatest number of cubic inches that could fit inside the prism?

You could fit (*Blank*) cubic inches inside the prism.

You could fit 5.25 cubic inches inside the prism.

Step-by-step explanation:

In order to calculate the number of cubic inches that could fit in the prism we first need to calculate it's volume, this is given by the formula below:

volume = length*width*height

Applying the data from the question:

volume = 1.75*1.5*2

volume = 5.25 inches³

Thefore you could fit 5.25 cubic inches inside the prism.

You could fit 5.25 cubic inches inside the prism.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the rectangular prism:

Volume (V) = Length x width x height

Replacing with the values given:

V = 1.75 in x 2 in x 1.5 in  

Solving for V:

V = 5.25 cubic inches

You could fit 5.25 cubic inches inside the prism.

Feel free to ask for more if needed or if you did not understand something.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8