The area of the face of a cube is 9 square centimeters. Use 9 of these cubes to make a rectangular prism. What is the volume of the rectangular prism

243 cm^3

Step-by-step explanation:

The faces of a cube are squares.

A = s^2

s^2 = 9 cm^2

s = 3 cm

The side of the square is the edge of the cube and is 3 cm.

V = s^3

V = (3 cm)^3 = (3 cm)(3 cm)(3 cm) = 27 cm^3

The volume of one cube is 27 cm^3.

The volume of 9 cubes is 9 * 27 cm^3 = 243 cm^3

243 cm^3

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form