Test Review Cut Problems

There are 5 types of problems on the test:1. Perimeter and Area of 2D Figures2. Effect of Dimensional Change on Volume3. Effect of Dimensional Change on Surface Area4. Working Backwards5. Lateral Surface Area

Category 1: Perimeter and Area of 2D Figures

The perimeter of the rectangle is 80 feet. Find the area of the shaded region.

25 ft

1)

Category 1: Perimeter and Area of 2D Figures

Joe is designing a Frisbee with a diameter of 10centimeters. After performing several tests, he decidesthat the Frisbee would fly much further if he tripled theradius. Which statement describes what will happen tothe area and circumference of the Frisbee?

A. The area and the circumference will triple.B. The area will increase 9 times and the circumference will

triple.C. The area will triple and the circumference will increase

by 9 times.D. The area and the circumference will triple.

2)

Category 2: Effect of Dimensional Change on Volume

Ana is building a new storage shed in her backyard. Her old storage shed was 4 feet wide by 6 feet long by8 feet high. She has accumulated a bunch of extra stuffover the years and has decided to increase thedimensions of her storage shed by a scale factor of 3.

Find the volume of each storage shed (old and new).

How much bigger will the volume of the new storage shed be?

3)

Category 3: Effect of Dimensional Change on Surface Area

The edge length of a small cube is increased by a scale factor of 5 to form a larger cube. How many times greater is the surface area of the large cube?

x 5x

4)

Hint: plug in a number for x, find the surface area of both cubes

Category 4: Working Backwards

What is the radius of the cylinder below if the volume is 1256 cubic feet?

16 feet

r

5)

A) 400 ftB) 78.5 ftC) 20 ftD) 39.25 ft

Category 1: Perimeter and Area of 2D Figures

The perimeter of the rectangle is 60 feet. Find the area of the shaded region.

20 ft

1)

Category 1: Perimeter and Area of 2D Figures

John is designing a Frisbee with a diameter of 10 centimeters. After performing several tests, he decides that the Frisbee would fly much further if he doubled the radius. Which statement describes what will happen to the area and circumference of the Frisbee?

A. The area and the circumference will double.B. The area will quadruple and the circumference will double.C. The area will double and the circumference will quadruple.D. The area and the circumference will quadruple.

2)

Category 2: Effect of Dimensional Change on Volume

Billy has a rectangular prism fish tank with a volume of 6 cubic feet. He just got several new fish and wants to upgrade to a tank with dimensions which are twice as big as his old tank. What will be the volume of the new tank?

3)

Category 5: Lateral Surface Area

Campbell's has designed a new label for their tomatosoup. They want the label to completely cover the lateral surface of the cylindrical can. If the can is 5 inches tall and has a diameter of 3 inches, what is the area of the new label?

4)

Category 4: Working Backwards

What is the height of the rectangular prism if the volume is 378 cubic centimeters?

9 cm

6 cm

?

5)