Question

A jewelry box is b2 inches long, 3c2 inches wide, and 2c1 inches tall. Which of the following are correct? Select ALL that apply.
A.
The volume of the box is 6b2c2 cubic inches.
B.
The volume of the box is 6b2c3 cubic inches.
C.
The volume of the box is 5 + b2c2 cubic inches.
D.
If b = 3 inches and c = 2 inches, then the volume of the box is 41 cubic inches.
E.
If b = 3 inches and c = 2 inches, then the volume of the box is 216 cubic inches.
F.
If b = 3 inches and c = 2 inches, then the volume of the box is 432 cubic inches.

Answer 1

9514 1404 393

Answer:

  B, F

Step-by-step explanation:

The volume is the product of the dimensions:

  V = LWH

  V = (b^2)(3c^2)(2c^1) = (3·2)(b^2)(c^(2+1))

  V = 6b^2·c^3 . . . . . matches B

__

For b=3 and c=2, the volume is ...

  V = 6(3^2)(2^3) = 6(9)(8)

  V = 432 . . . . cubic inches . . . . matches F