1.The volume of a cube of edge length x cm is given by the formula V=x3. A die has a volume of 720m3. A student determined that the exact length of each edge of the die could be written as a mixed radical.
What is the Edge Length?
What is the perimeter of one face of the cube?
2. Simplify This expression by adding and subtracting like radicals.
6√32 + √192 - 3√12- √162
+128448 x^3 = 720
x^3 = 8 * 9 * 10
x^3 = 8 * 90 take the cube root
x = ∛8 * ∛90
x = 2* ∛90 m = edge length
Perimeter of one face = 4* 2∛90 m = 8∛90 m
Second one
6√32 + √192 - 3√12 - √162
6 √16 * √2 + √ 16 * √4 * √3 - 3* √ 4 * √3 - √81 *√2
6 * 4 * √2 + 4 * 2 * √3 - 3 * 2 * √3 - 9 * √2
24√2 + 8√3 - 6√3 - 9√2
15√2 + 2√3
