A rectangular prism has a length of 5 cm, a width of 2 1/2 cm, and a expressions height of 1 1/2 cm. Which can be used to find the volume of the prism? Multiple Choice (a) 5∙2 1/2∙1 1/2 (b) 12 1/2∙1 1/2 (c) 1 1/2(5+2 1/2) (d) 1/2(12 12∙112)

To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]

V = 5 * 2 1/2 * 1 1/2

V = 12 1/2 * 1 1/2

V = 18 3/4cm³

Now that we know the volume, we can check each answer choice.

Option A:

5 ∙ 2 1/2 ∙ 1 1/2

12 1/2 * 1 1/2

18 3/4cm³

Option B:

12 1/2 ∙ 1 1/2

18 3/4cm³

Option C:

1 1/2(5 + 2 1/2)

1 1/2(7 1/2)

11 1/4cm³

Option D:

1/2(12 1/2 ∙ 1 1/2)

1/2(18 3/4)

9 3/8cm³

Therefore, the only correct options are A and B.

Best of Luck!

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15