What is the volume of this figure ??

210 cm³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

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

Let's substitute the given values into this equation:

V = lwh

V = (5)(6)(7)

Multiply:

V = (5)(6)(7)

V = (30)(7)

V = 210

Therefore, the volume of the prism is 210 cubic centimeters.

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)