Unit 6 – Item 1
Jason needs to order a replacement screen protector for his tablet. The screen protector to be ordered is priced by square inch. Determine the area of the screen. (Round to the nearest
tenth.)
Unit 6 – Item 2
Your school has a rectangular field that measures 20 meters in length and 15 meters in width
that they want to use as a garden.
The school needs to construct a pathway diagonally across the field, connecting two opposite
corners. Calculate the length of the diagonal pathway.
Unit 6 – Item 3
The city is working to replace the pipelines in the city. The pipeline needs to follow that will
form a right-angle path beneath a city block. One section will measure 30 meters eastward
and another 40 meters northward.
Determine the shortest distance the pipeline needs to cover to connect these two points.
Unit 6 – Item 4
You are an engineer tasked with designing a water tank for a residential building. The tank is
cylindrical in shape. The available space allows for the water tank to have a maximum height
of 10 meters. The tank needs to hold 150 cubic meters of water.
Calculate the minimum required radius for the cylindrical tank to meet this volume requirement (Round to the nearest hundredth).
How would the radius change if the available maximum height changed to 15 meters (Round to the nearest hundredth)?
Unit 6 – Item 5
Sam is building a ramp for his skateboard park. He wants the ramp to be 6 feet tall and reach
8 feet horizontally from the ground to the top of the ramp.
What is the length of the material Sam will need for the ramp?
Unit 6 – Item 6
Timothy designed a cylindrical soda tower to have at parties and events at his school.
His initial design measured 12 inches high with a diameter of 6 inches. Timothy wants to
design another tower that holds more soda for larger events. He can’t decide whether to
double the height or double the diameter. Which tower would hold more soda when filled?
Explain your reasoning.
Unit 6 – Item 7
Justin regularly commutes to school from home along Highway 30, at a distance of 17
miles. Due to road construction, his mom is forced to take a detour. The detour involves
driving 8 miles down Stilles Avenue then take a right turn at the intersection of Stilles and
Truman Street, and then follow Truman Street to school.
How many more miles have been added to the commute by taking the detour?