An octagonal window is made from 5 congruent squares and 4 congruent triangles, as shown below.

What is the area, in square inches, of the window?

The top to a circular table, 6 feet in diameter, is cut in half along a diameter to form the semicircular table top shown below.

What is the perimeter of the semicircular top? Round the answer to the nearest tenth of a foot.

What is the circumference, in centimeters, of the largest circle that can be drawn on a piece of paper 16 centimeters by 16 centimeters in size?

A cone is shown below.

What is the volume, in cubic centimeters, of the cone?

To plant a lawn, Kristin needs 4 pounds of grass seed per 1,000 square feet. A diagram of her lawn is shown below. Kristin wants to plant the flowers in congruent semicircles.

Complete the following in the answer box below:

• How many pounds of seed does Kristin need for her lawn? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
   

To properly fill the aquarium shown below, the water level should be 1.5 inches from the top of the aquarium.

If the aquarium is filled properly, how many cubic inches of water will it contain?

Monique plans to cover the three rectangular faces of the right triangular prism shown below with fabric.

How many square feet of fabric will Monique need to cover the rectangular faces of the prism?

The cylindrical oil tank shown below is half full.

How much oil is in the tank? Round the answer to the nearest cubic foot.

An insulated bottle with a circumference of 26 inches needs a liner with a radius two-thirds the radius of the bottle.

What is the radius of the liner? Round the answer to the nearest inch.

A worker at a new baseball park is mowing the shaded region of the rectangular field shown below. The dirt region is a quarter circle with a radius of 140 feet..

How many square feet of grass will the worker mow? Round the answer to the nearest square foot.

The window shown below is in the shape of a rectangle with a semicircular top.

What is the area, in square feet, of the window?

A company’s logo is formed by drawing a circle and then replacing two opposite quarters of the circle with squares, as shown below.

What is the area of the logo? Round the answer to the nearest square centimeter.

The heating system for the building shown below can raise the temperature 10°F at a rate of 150 cubic feet per minute.

How many minutes will it take to raise the temperature of the building 10°F? Round the answer to the nearest minute.

The baker has to make enough cakes to serve 100 people. He knows that each person will eat approximately 9 square inches of cake.

• How many heart-shaped cakes should he make?
• Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.

A diagram of a floor is shown below.

What is the area, in square feet, of the floor?

A baseball is a sphere with a radius of 3.8 centimeters. What is the surface area of the baseball? Round the answer to the nearest tenth of a square centimeter.

A pile of sand is in the shape of a cone. The diameter of the base is 24 feet and the height is 10 feet. Which of these is the volume of the pile of sand? Round the answer to the nearest cubic foot.

The figure below shows the dimensions of foam used to package a product. The foam is in the shape of a rectangular prism with a smaller rectangular prism removed.

How many cubic centimeters of foam are used to package this product?

A highway worker uses a cylindrical roller with the dimensions shown below.

How much area will one revolution of the roller cover? Round the answer to the nearest square foot.

In the figure below, the nine congruent circles in the square are tangent to each other and tangent to the sides of the square.

What is the total area, in square feet, of the 9 circles?

A tent in the shape of a hemisphere is shown below.

What is the volume of the tent? Round the answer to the nearest cubic foot.

Complete the following in the answer box below:

• Which of the three choices requires the least amount of cardboard? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.

The volume of the cube shown below is 125 cubic inches.

What is the surface area, in square inches, of the cube?

Iced tea is made in a cylindrical pot. The pot has a radius of 15 centimeters and a height of 14 centimeters. What is the maximum amount of tea, in cubic centimeters, that the teapot will hold?

Two congruent semicircular regions were removed from a rectangle, as shown below.

What is the area of the shaded figure? Round the answer to the nearest tenth of a square centimeter.

A bank teller fills 3 drawers with stacks of $20 bills. The dimensions of each stack are approximately 3 cm x 6 cm x 15 cm. The dimensions of one drawer are 12 cm x 30 cm x 60 cm.

How many stacks will fill 3 drawers?

A regular hexagon is shown below. The distance from the center of the hexagon to one of the vertices is 3.5 inches.

What is the perimeter, in inches, of the hexagon?

Circle X has a radius of 4 feet.

What is the area of the shaded region? Round the answer to the nearest square foot.

Bill wants to build a fence around the lot shown below. The lot is in the shape of a rectangle and semicircle.

How much fencing will Bill need to complete the job? Round the answer to the nearest tenth of a meter.

A building is shaped like a cylinder with a cone on top. The diameter of the building is 24 feet, as shown below.

What is the volume of the entire building? Round the answer to the nearest cubic foot.

A cylinder has a circumference of 24π meters and a height that is 3 times its radius. What is the volume of the cylinder? Round the answer to the nearest cubic meter.

The attic shown below is 30 feet by 60 feet with a rise of 8 feet.

Note: This figure is not drawn to scale.

What is the volume of the attic?

The radius of a tree is 31 centimeters. What is the circumference, in centimeters, of the tree?

Each of Linda's beads is a sphere. The radius of each bead is 1.0 centimeter. What is the volume, in cubic centimeters, of each bead?

An aquarium is a cylinder with a diameter of 203 feet and a height of 25 feet. What is the volume of the aquarium? Round the answer to the nearest thousand cubic feet.

The dimensions of two suitcases are shown below. Suitcase A is a trapezoidal prism, and Suitcase B is a rectangular prism.

Note: These figures are not drawn to scale.

Use the answer box to complete the following. (You will need to use additional paper to complete the answer satisfactorily.)

• What is the volume of Suitcase A? Use mathematics to explain how you determined the volume of Suitcase A. Use words, symbols, or both in your explanation.
   
• Both suitcases have the same volume. What is the height of Suitcase B? Use mathematics to explain how you determined the height of Suitcase B. Use words, symbols, or both in your explanation.

A book with dimensions 9 inches by 6.5 inches by 0.6 inch is shown below.

Note: This figure is not drawn to scale.

What is the area of the entire cover of the book? Round the answer to the nearest tenth of a square inch.

A radio station has a circular broadcasting area of approximately 3,632 square miles.

Note: This figure is not drawn to scale.

What is the radius of the radio station's broadcasting range? Round the answer to the nearest mile.

A cylindrical can of beans is shown below.

What is the area of a label that surrounds the can without overlapping? Round the answer to the nearest tenth of a square inch.

A steel tool in the shape of a trapezoid has the dimensions shown below.

Note: This figure is not drawn to scale.

How many square inches of steel are required to make twenty tools?

A cylindrical can has a base with a radius of 5 centimeters. The surface area of the can is 500 square centimeters. What is the height of the can? Round the answer to the nearest centimeter.

A box of aluminum foil and a box of tissues are rectangular prisms, as shown below. They have the same volumes.

What is the height (h) of the tissue box?

A cylindrical tank is shown below. The tank is refilled when the water level reaches the refill line.

Complete the following on a piece of paper and/or in the answer box below:

• How much water can the entire tank hold? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
   
• At the beginning of the day the tank is full. How much water can be removed from the tank before it is necessary to refill the tank? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
   

A stack of paper has a volume of 280.5 cubic inches. Each sheet of paper in the stack measures 8.5 inches by 11 inches and is 0.004 inch thick. How many sheets of paper are in this stack?

Each lifeguard at a swimming pool can supervise no more than 2,000 square feet of water.

What is the minimum number of lifeguards needed to supervise the pool shown above?

The area of a trapezoid is 39 square meters. The trapezoid has two bases that measure 8 meters and 18 meters. What is the height of the trapezoid?

A triangle has an area of 24 square centimeters. Its base measures 12 centimeters. What is the height, in centimeters, of the triangle?

Below is rectangle RSTU with length x and width y.

When the length and width of the rectangle are each increased by 2 units, by how many units will the perimeter increase?

The dimensions of a rectangular wall and its rectangular windows are shown below. The shaded region will be covered by wallpaper.

What is the area, in square feet, that will be covered by wallpaper?