Cube and cube root Applications

The volume of a cube is a function of the length of an edge modeled by V = s³ . The volume of a cube is 373.248 cm3 . What is the length of a side? Round to the nearest tenth (1 decimal place).

• 3cm

• 8cm

• 6cm

• 2cm

• 8.3cm

• 6.8cm

• 4.9cm

• 5.2cm

A jeweler is setting a stone cut into the shape of a regular octahedron. A regular octahedron is a solid with eight equilateral triangles as faces. The formula for the volume of the stone is V = 0.47s³ where s is the side length in mm of an edge of the stone. The volume of the stone is 161 mm³ .

Find the length of an edge of the stone.

• 8mm

• 7mm

• 9mm

• 6mm

• 581.4cm³

• 475.8cm³

• 673.2cm³

• 523.6cm³

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1
• reflect over x, horizontal compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, horizontal stretch by -2, right 5, up 1

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Which of the facts is not true about the graph shown?

• The range is y ∈ ℝ
• The function has been shifted 6 units right.
• The function has been shifted up 1 unit
• The function has been vertically stretched by a factor of 2.