Unit 1 Review - Sebas

Volume

100

Volume of a cube with side length 5

125

200

A rectangular prism has sides 3, 4, and 6

72

300

What is the volume of a cylinder with radius 3 and height 10? (Use 3.14 for pi)

282.6

400

Find the volume of a cone with radius 6 and height 9. (Use 3.14 for pi)

339.12

500

The volume of a sphere is 288π³. What is the radius of the sphere?

r = 6

Density

100

Mass= 20 g.

Volume= 20 cc.

Density= 1 g./cm.^3

200

Mass= 23 g.

Volume= 20 cc.

Density= 0.87 g/cm.^3

300

 Mass = 5g.

Volume = 20cc.

Density = 0.4g/cm.^3

400

Mass = 3 g.

Volume = 14 cc.

Density = 0.214g/cm^3

500

Mass = 2 g.

Volume = 21 cc. 

Density = 0.9523 g/cm^3

Cross Sections

100

What 2 dimensional shape is made from a cross section of a sphere cut parallel?

A circle

200

Identify the 2D shape made by a cross section of a rectangular pyramid perpendicular to the base going through the vertex.

A triangle

300

Identify the 2D shape made by slicing a cylinder with a vertical line that is perpendicular to the base.

A Rectangle

400

Identify the 2D shape made by slicing a hexagonal prism perpendicular to the base

Rectangle

500

What figure can have the same cross section as a sphere?

Cone

Rectangular Prism

Pyramid

Cone

Scale Factor

100

10 inch : 50 feet

1 inch : ____ feet

5 feet

200

12 inch : 24 miles

1 inch : ____ miles

2 miles

300

Using the scale factor, what is the value of x?

 5:x

7:28

X=20

400

Are the 2 factors similar? Is so state the scale factor

18/6 and 54/21

Not similar

500

Are the 2 figures similar? Is so state the scale factor

27/81 and 18/54

Yes, scale factor is 3

Word Problems

100

A baker cuts a cake in the shape of a cylinder in half perpendicular to the base. What shape would it make?

Rectangle

200

A cylindrical water tank has a radius of 3 meters and a height of 8 meters. The tank is currently half full. How many cubic meters of water are in the tank? (Use pi ≈ 3.14)

113.04m³

300

A model car is built using a scale factor of 1:4 compared to the real car. The real car is 16 feet long. How long is the model car?

4 feet

400

A metal block has a mass of 540 grams and a volume of 60 cm³. Another block made of the same material has a volume of 150 cm³.

What is the mass of the second block?

1350 grams

500

A solid is made by stacking a cone on top of a cylinder. Both shapes have the same radius of 5 cm. The cylinder has a height of 12 cm, and the cone has a height of 9 cm.

If the solid is filled with water, how many cubic centimeters of water does it hold? (Use pi ≈ 3.14)

1177.5 cm³