Question

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.

Answer 1

Answer:

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