Geometric Relationships Review | Baamboozle - Baamboozle

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inches. What is the relationship between their volumes?

They are equal: 251.2 cubic inches.

What is the distance (in units) between point C and D?

5.66 units

The length of one wall in a room is 17 feet. The length of the diagonal of the floor of the room is 18.79 feet. Is the room a square or rectangle? Explain for full points.

Rectangle - the length of the other wall is 8 feet

Sylvia calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which Triangle is it?

C

The legs of a right triangle are 3 units and 7 units. What is the length of the hypotenuse?

7.62 units

What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 3 units?

4.24 units

The figure shows the location of three points around a lake. The length of the lake, BC, is also shown. What is the length of AB?

4.58 mi

What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches?

113.04 cubic inches

PQRS is a rectangle. LMNO is a square. Sam says the length of SQ is twice the length of OM. Is Sam correct? Explain for full points.

No. OM is 8.49 units and SQ is 13.42 units.

The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone?

1.15 inches

The left of a right triangle is 3 units and the hypotenuse is 6 units. What is the length, in units, of the other leg of the triangle?

5.20 units

What is the length of the missing side length of the window frame?

20 in

The map shows the location of an airport and warehouse. There is also a factory 64 miles north of the warehouse. A truck travels from the warehouse to the airport, then to the factory. What total distance did it travel?

128 miles