Simple and easy question
please help

Total volume of the figure = 1067 cm³

Step-by-step explanation:

Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid

Volume of the rectangular prism = Length × Width × Height

                                                      = 10 × 10 × 7

                                                       = 700 cm³

Volume of the square pyramid =

                                                   = × height

                                                   =

                                                   = 366.67 cm³

Total volume of the composite figure = 700 + 366.67 = 1066.67 cm³

                                                                                          ≈ 1067 cm³

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

step-by-step explanation:

the answer would be 7