Question

Rectangular prism A measures 6 inches by 4 inches by 5 inches. Rectangular prism B's dimensions are twice those of prism A. Find the volume of each prism. How many times as great is prism B's volume as Prism A's volume?

Answer 1

120 for prism A.

The answer for prism B is 960.

Prism B's volume is 840 greater/higher than prism A's.

Explanation:

6 x 4 x 5

6 x 4 = 24

24 x 5 = 120

Checking work:

5 x 6 x 4

5 x 6 = 30

30 x 4 = 120

Double checking work:

5 x 4 x 6

5 x 4 = 20

20 x 6 = 120

_____________

12 x 8 x 10

12 x 8 = 96

96 x 10 = 960

Checking work:

10 x 8 x 12

10 x 8 = 80

80 x 12 = 960

Double checking work:

10 x 12 x 8

10 x 12 = 120

120 x 8 = 960

____________

960 - 120 = 840

-120

840

Double checking work

840 + 120 = 960

+120

960

_____________

Hope this answers your question.

Answer 2

6×4×5 = 120 in^3; 12×8×10 = 960 in^3; Prism B's volume is 8 times greater than Prism A's volume