6th Grade Math: Unit 6

Last updated 9 months ago

9 questions

Unit 6 – Item 1
Mario made a fort for his little brother by connecting two boxes.
The first box has a bottom that is 12 square feet, and the height of the box is 3 feet.
The second box has a bottom that is 9 square feet, and the height of the box is 3 feet.

PART A
How many cubic feet of space does the fort have?

PART B
Mario adds a third box to the fort, now the space is 115 cubic feet. What are the possible dimensions of the third box?

Unit 6 – Item 2
Charlotte is planning to build a rabbit hutch and has drawn the plan shown below.
The hutch is made up of three squares, the two large squares being congruent. The red hash
marks indicate the center of the marked edges. Determine the area of the figure below.

Unit 6 – Item 3
Asceria and Jelisa plan to have bookcases built along a wall in their living room. Their living
room is square, with an area of 256 square feet. The room is 9 feet tall.

The contractor sketches an idea for the bookcases seen below. All three sections are the same width, and the center is half as tall as the end sections.

Who is correct? How do you know?

Unit 6 – Item 4
A tank in the shape of a rectangular prism has dimensions 1 2/3 yards wide by 1 1/8 
yards tall by 2 yards long.

Adam will cover the four sides and bottom with protective paper while he moves the tank. How much paper is needed to protect the tank? How do you know?

Unit 6 – Item 5
The Postal Service uses the following net for their medium priority mailbox. What is the surface area of the box shown below?

Unit 6 – Item 6
You have been given a rectangular plot of land to design a garden and a shed. The plot
measures 20 feet by 30 feet.

You plan to create a rectangular garden that is 15 feet long and 10 feet wide. Next to the
garden, you want to build a shed that is 8 feet long, 6 feet wide, and 7 feet high.

6th Grade Math: Unit 6

PART A
How many cubic feet of space does the fort have?

PART B
Mario adds a third box to the fort, now the space is 115 cubic feet. What are the possible dimensions of the third box?

Unit 6 – Item 2
Charlotte is planning to build a rabbit hutch and has drawn the plan shown below.
The hutch is made up of three squares, the two large squares being congruent. The red hash
marks indicate the center of the marked edges. Determine the area of the figure below.

Who is correct? How do you know?

Adam will cover the four sides and bottom with protective paper while he moves the tank. How much paper is needed to protect the tank? How do you know?

Unit 6 – Item 5
The Postal Service uses the following net for their medium priority mailbox. What is the surface area of the box shown below?

PART A
Calculate the area of the garden. Calculate the volume of the shed.

PART B
You have decided to paint the shed to complement the natural surroundings. Calculate the total surface area of the shed, excluding the roof.

PART C
After setting aside space for the garden and the shed, what is the area of the remaining land?

6th Grade Math: Unit 6

PART AHow many cubic feet of space does the fort have?

PART BMario adds a third box to the fort, now the space is 115 cubic feet. What are the possible dimensions of the third box?

Unit 6 – Item 2Charlotte is planning to build a rabbit hutch and has drawn the plan shown below.The hutch is made up of three squares, the two large squares being congruent. The red hashmarks indicate the center of the marked edges. Determine the area of the figure below.

Who is correct? How do you know?

Adam will cover the four sides and bottom with protective paper while he moves the tank. How much paper is needed to protect the tank? How do you know?

Unit 6 – Item 5The Postal Service uses the following net for their medium priority mailbox. What is the surface area of the box shown below?

PART ACalculate the area of the garden. Calculate the volume of the shed.

PART BYou have decided to paint the shed to complement the natural surroundings. Calculate the total surface area of the shed, excluding the roof.

PART CAfter setting aside space for the garden and the shed, what is the area of the remaining land?

PART A
How many cubic feet of space does the fort have?

PART B
Mario adds a third box to the fort, now the space is 115 cubic feet. What are the possible dimensions of the third box?

Unit 6 – Item 2
Charlotte is planning to build a rabbit hutch and has drawn the plan shown below.
The hutch is made up of three squares, the two large squares being congruent. The red hash
marks indicate the center of the marked edges. Determine the area of the figure below.

Unit 6 – Item 5
The Postal Service uses the following net for their medium priority mailbox. What is the surface area of the box shown below?

PART A
Calculate the area of the garden. Calculate the volume of the shed.

PART B
You have decided to paint the shed to complement the natural surroundings. Calculate the total surface area of the shed, excluding the roof.

PART C
After setting aside space for the garden and the shed, what is the area of the remaining land?