Scaling Solids

• 514.5

• 1500

• 187.5

• 768

• 324

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

The square shown has a perimeter of 32 units. The square is rotated about line k.

What shape is created by the rotation and what is the approximate circumference of the base?

• a cone with a base circumference of about 25 units

• a cone with a base circumference of about 50 units

• a cylinder with a circumference of about 25 units

• a cylinder with a circumference of about 50 units

• a cylinder with a circumference of about 64 units

The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.

Which best describes the resulting three-dimensional shape?

• a cone with a base radius of 17 units

• a cone with a base radius of 34 units

• a cylinder with a base radius of 17 units

• a cylinder with a base radius of 34 units

• a cone with a base radius of 24 units

A 3-D solid is formed by rotating the rectangle shown at the right about the vertical line. The dimensions of the rectangle are stated in inches. What is the volume of the solid formed by this rotation, in cubic inches?