1. A rectangular box has a width of x meters, length of x + 3 meters, and a height of x – 2 meters. Write an expression for its volume. Remember an expression does NOT have an equal sign

2. Find the dimensions of the box when x = 6. Check the three correct answers. *
4 meters
5 meters
6 meters
7 meters
8 meters
9 meters
10 meters

3. Find the volume of the box when x = 6. *
19 meters cubed
24 meters cubed
36 meters cubed
54 meters cubed
216 meters cubed

there are infinitely many solutions.

0.038

step-by-step explanation:

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3