A rectangular prism has a height of 10 centimeters. If the volume of the rectangular prism is 360 cubic centimeters, select the two possible pairs of dimensions that could form the base of the prism.

1 x 36 in

2 x 18in

3 x 12  in

4 x 9 in

6 x 6 in

Step-by-step explanation:

volume of a prism = length x width x height

or

volume of a prism = base area x height

the base is the shape of a rectangle , so area of the base = length x width

360 = base area x 10

base area = 360 / 10 = 36 cm^2

the two possible pairs of base area can be determined by determining the factors of 36

factors of 36 = 1,2,3,4, ,6,9. 12, 18, 36

Possible dimensions are 1 x 36

2 x 18

3 x 12

4 x 9

6 x 6

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

a rotation about point l

step-by-step explanation:

quizlet