The volume of a rectangular prism is 1000 mm3. Use the formula V = lwh to determine which statements are true choose all that apply

1 answer

1. The length, width, and height could all be 10 mm.
2. The length, width, and height could all be 100 mm.
3. The length could be 10 mm, the width could be 20 mm, and the height could be 50 mm.
4. The length could be 5 mm, the width could be 20 mm, and the height could be 25 mm.
5. The length could be 10 mm, the width could be 40 mm, and the height could be 2.5 mm.

To check which statements are true, we can calculate the volume of the rectangular prism using the given values of length, width, and height, and see if it equals 1000 mm3.

1. V = lwh = 10 x 10 x 10 = 1000 mm3 (True)
2. V = lwh = 100 x 100 x 100 = 1,000,000 mm3 (False)
3. V = lwh = 10 x 20 x 50 = 10,000 mm3 (False)
4. V = lwh = 5 x 20 x 25 = 2500 mm3 (False)
5. V = lwh = 10 x 40 x 2.5 = 1000 mm3 (True)

Therefore, statements 1 and 5 are true.