Astorage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. what could be the dimensions of the container if one dimension is 3 feet and all dimensions are whole units? select all that apply a. 3 feet by 4 feet by 5 feet b. 3 feet by 3 feet by 5 feet c. 3 feet by 5 feet by 6 feet d. 3 feet by 2 feet by 10 feet e. 3 feet by 2 feet by 15 feet

the answer is A and D

Step-by-step explanation:

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.

i need a picture

step-by-step explanation: