g.mg.a

volume

100

what is the equation for the surface area of a circle

pi * radius squared

200

About 1.2 million people live in a circular region with a 6-mile radius. Find the population density in people per square mile.

10610

300

The figure below shows the components of a cylindrical well.

Which measurement is most likely to be used to determine the diameter of the well cap?

• the capacity of the cylindrical well casing

• the circumference of the cylindrical well casing

• the depth of the cylindrical well casing below the ground

• the height of the cylindrical well casing above the ground

• the circumference of the cylindrical well casing

400

The top view of a desk is shown below, where MN≅QP, MU ≅ QR, TU ≅ SR, and ∠MUT≅∠QRS.

Natalie wants to construct this desk. Which of the following could not be the shapes used to construct the desk top?

• 1 pentagon and 2 congruent rectangles

• 1 rectangle and 2 congruent pentagons

• 1 rectangle and 2 congruent trapezoids

• 1 trapezoid and 2 congruent quadrilaterals

1 pentagon and 2 congruent rectangles

500

PROBLEM SOLVING About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer. Find the radius of the region. 

4 km

4.5 km

5 km

5.5 km

4.5 km

density

100

what is the equation of the surface area of a rectangle

length * width

200

A circular region has a population of about 52,000 people and a population density of about 115 people per square mile. Find the radius of the region

12 miles

300

The figure below shows a compost bin.

Which process is most likely to be used to estimate the total surface area of the compost bin?

• computing the area of 6 rectangles

• computing the area of 4 trapezoids and 2 rectangles

• finding the perimeter of the base and multiplying by the height

• finding the mean of the perimeters of the base and the top and multiplying by the height

computing the area of 4 trapezoids and 2 rectangles

400

Gerald has a punch bowl in the shape of a hemisphere as shown below.

One cup is equivalent to approximately 14.44 cubic inches. Which of the following is closest to the maximum number of cups the punch bowl can hold?

• 290 cups

• 145 cups

• 36 cups

• 18 cups

18 cups

500

PROBLEM SOLVING About 79,000 people live in a circular region with a population density of about 513 people per square mile. Find the radius of the region

6 miles

6.5 miles

7 miles

7.5 miles 

7 miles

area

100

The surface area of the earth is 197 million square miles.  71% of that is water.  How many square miles is the surface area of the earth?

57 million square miles

200

A circular region with a 7.5-mile radius has a population density of about 5000 people per square mile. Find the number of people who live in the region.

883573

300

Which measure would be best to estimate the amount of fabric necessary to make an umbrella?

• volume of a sphere

• surface area of a sphere

• volume of a hemisphere

• surface area of a hemisphere

surface area of a hemisphere

400

Charles bought a fish tank in the shape of a prism with a base shaped like a regular hexagon. The dimensions of the fish tank are shown below.

Charles wants to completely fill the fish tank with water. Which of the following is closest to the number of gallons of water Charles needs to fill the fish tank? (1 gallon ≈ 231 cubic inches)

• 18.7 gallons

• 48.6 gallons

• 56.1 gallons

• 97.2 gallons

48.6 gallons

500

The state of Nevada has a population of about 3.1 million people. Find the population density in people per square mile.

28 people / square mile

properties

100

find the surface area of a cylinder whose radius is 4 and base height is 8

302

200

A city mayor is planning to plant a rectangular flower garden in a park. The mayor will build a short fence around the flower garden. The mayor purchased enough flowers to cover 225 square feet of ground. The mayor wants to use the least amount of fencing possible. a. What should the dimensions of the flower garden be?

15 ft by 15 ft

300

A trash container is shown.

Which measurement would be best to estimate the maximum amount of trash that would fit in the container?

• the difference of the volume of a rectangular prism and the volume of a triangular prism

• the sum of the volume of a rectangular prism and the volume of a trapezoidal prism

• the difference of the surface area of a rectangular prism and the surface area of a triangular prism

• the sum of the surface area of a rectangular prism and the surface area of a trapezoidal prism

the sum of the volume of a rectangular prism and the volume of a trapezoidal prism

400

A container of juice is in the shape of a cylinder with a height of 12 centimeters. If the container holds 355 cubic centimeters of juice, which is closest to the diameter of the container?

• 3.07 centimeters

• 5.44 centimeters

• 6.14 centimeters

• 10.88 centimeters

6.14 centimeters

500

A circular region has a population of about 430,000 people and a population density of about 5475 people per square mile. Find the radius of the region.

5 miles

measures

100

find the surface area of a rectangular prism with sides lengths of 2, 4, and 5

76

200

A circular region has a population of about 360,000 people and a population density of about 1860 people per square mile. Find the radius of the region.

7.8 miles

300

A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below.

    • The building has a width of 50 feet, a length of 80 feet, and a height of 120 feet.

    • There are 60 windows on each lateral face of the building.

    • Each window is a square measuring 5 feet on a side.

Using this information, which expression represents the total lateral surface area, in square feet, that needs to be painted?

Responses

• (2)(120)(80)+(2)(120)(50)−(60)(5²)

• (2)(120)(80)+(2)(120)(50)−(4)(60)(5²)

• (2)(50)(80)+(2)(120)(80)+(2)(120)(50)−(60)(5²)

• (2)(50)(80)+(2)(120)(80)+(2)(120)(50)−(4)(60)(5²)

(2)(120)(80)+(2)(120)(50)−(4)(60)(5²)

400

A city park is triangular with a base length of 4 blocks and a height of 7 blocks. During an evening concert, its population density is about 54 people per square block. Find the number of people in the park that evening

756

500

You are designing a rectangular corral with an area of 450 square meters. A barn will form one side of the corral. You want to minimize the amount of fencing that you need for the other three sides of the corral. This will include an opening that is 3 meters wide where a gate will be placed. How many meters of fencing do you need?

57 meters