Volume of Cylinders, Cones, and Spheres — Unit test Answers

Galina is finding the area of triangle RST. To do so, she follows the steps in the table.Step 1Draw a rectangle around triangle RST.Step 2Find the area of the rectangle.Step 3Find the area of the three right triangles created by the sides of the rectangle and the intersection with each vertex of the triangle.Step 4Subtract the area of the right triangles from the area of the rectangle.

The radius of the sphere is 10 units.

An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?

What is the measure of each exterior angle of a regular hexagon?

How many edges does a rectangular prism have?

Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a rectangle with dimensions of 55 feet and 45 feet.Which statement is true regarding the areas of the two flower beds?

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws.

On a coordinate plane, triangle R S T has points (negative 3, 2), (3, 2), and (negative 1, 1). An altitude is drawn from point T to point U at (negative 1, 2).

On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).

Which statements about the octagon are true? Select two options.

Which polygon is a convex heptagon?

A regular hexagon is shown.

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?

Which statements about the cylinder are true? Select two options.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm.What is the approximate area of the heptagon rounded to the nearest whole number? Recall that a heptagon is a polygon with 7 sides.

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

An oblique cone has a radius of 5 units and a height of 9 units.

An oblique cylinder has a radius of 10 units and slant length of 26 units.