3D Figure Nets Worksheets Grade 6

1. Charlotte is designing a net for a rectangular prism gift box. The net is made up of six rectangles. Two rectangles measure 27 cm by 12 cm, two rectangles measure 27 cm by 7 cm, and two rectangles measure 12 cm by 7 cm. Which rectangle in the net forms the top and bottom of the prism?
2. Aroha is designing a net for a rectangular prism that will be used as a display box. The net has six rectangular faces. Two rectangles measure 27 cm by 11 cm, two rectangles measure 27 cm by 13 cm, and two rectangles measure 11 cm by 13 cm. When the net is folded into a rectangular prism, which two faces will be opposite each other? Describe the pairs of opposite faces by their dimensions.
3. Noah is designing a cylindrical storage container for his art supplies. The container needs to hold exactly 3 liters of paint. He creates a net for the container consisting of two circles for the bases and one rectangle for the side. If the height of the container is 25 cm, what is the radius of the circular bases in centimeters? (Use π ≈ 3.14 and remember that 1 liter = 1000 cubic centimeters)

…and 2 more problems

1. Liam is designing a gift box in the shape of a rectangular prism. The net of the box shows that it has a length of 12 cm, a width of 8 cm, and a height of 5 cm. He needs to calculate the total surface area of the box to determine how much wrapping paper he will need. What is the total surface area of the box in square centimeters?
2. A company is designing a new cereal box in the shape of a rectangular prism. The net of the box shows rectangles arranged with dimensions: two rectangles measuring 15 cm by 25 cm, two rectangles measuring 15 cm by 8 cm, and two rectangles measuring 25 cm by 8 cm. What is the total surface area of the cereal box in square centimeters?
3. A rectangular prism has dimensions 8 cm × 5 cm × 12 cm. What is its surface area?

1. Hana is designing a net for a rectangular prism that will be used as a small storage box. The net she draws has six rectangular faces arranged in a cross shape. The dimensions of the faces are: two rectangles measuring 12 cm by 8 cm, two rectangles measuring 12 cm by 6 cm, and two rectangles measuring 8 cm by 6 cm. When folded, which faces will be opposite each other? Describe the pairs of opposite faces by their dimensions.
2. Isabella is designing a net for a square-based pyramid for a school art project. The net must have a square base and four triangular faces. She draws a net with a square in the center measuring 9 cm on each side. She attaches a triangle to each side of the square. Each triangle has a base of 9 cm and a slant height of 14 cm. When Isabella folds this net, will the triangular faces meet at a single point (the apex) above the center of the square base? Explain why or why not using the properties of the net.
3. A company is designing a new cereal box in the shape of a rectangular prism. The box needs to have a volume of 4320 cubic centimeters. If the length is 18 cm and the width is 12 cm, what is the height of the box?