Question

The volume of a rectangular prism is 1,000^3 mm. Use the formula V = lwh to determine which of the statements are true. Choose all that apply

The prism could be a cube with a side length of 10 mm.
It is possible for the length to be 1,000 mm.
The length, width, and height must end in zero.
It is possible that the length is 2.5 mm.

Answer 1

(A) The prism could be a cube with a side length of 10 mm.

(B) It is possible for the length to be 1,000 mm.

(D) It is possible that the length is 2.5 mm.

Step-by-step explanation:

Volume = l×w×h

where l is the length, w is the width and h is the height

It is possible that the length is 2.5 mm

Then volume = 2.5 × 10 ×40 = 1000 mm³

It is possible for length to be 1000 mm

Then volume = 1000 × 0.1 × 10 = 1000 mm³

The prism could be a cube of length 10 mm

Then volume = 10 × 10 × 10 = 1000 mm³