Nets and Surface Area: Hands-On Challenges for Grade 6

A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 4 cm. Draw the net of the box and calculate its surface area.

• The surface area of the box is 220 cm².

• The surface area of the box is 250 cm².

• The surface area of the box is 180 cm².

• The surface area of the box is 200 cm².

You want to wrap a gift that is in the shape of a cube with a side length of 6 cm. What is the surface area of the cube? Draw the net to show your work.

• 180 cm²

• 144 cm²

• 216 cm²

• 120 cm²

A swimming pool is in the shape of a rectangular prism with dimensions 8 m long, 4 m wide, and 2 m deep. Draw the net of the pool and find the surface area that needs to be tiled.

• 40 m²

• 60 m²

• 100 m²

• 80 m²

A cereal box is shaped like a rectangular prism with a height of 30 cm, a width of 10 cm, and a length of 5 cm. Calculate the surface area and draw the net of the box.

• The surface area of the cereal box is 800 cm².

• The surface area of the cereal box is 1000 cm².

• The surface area of the cereal box is 1500 cm².

• The surface area of the cereal box is 600 cm².

You are designing a new fish tank that is a cube with a side length of 3 ft. What is the surface area of the fish tank? Draw the net to illustrate your answer.

• 54 ft^2

• 48 ft^2

• 36 ft^2

• 72 ft^2

A triangular prism has a base area of 12 cm² and a height of 10 cm. If you were to create a net for this prism, what would the surface area be? Draw the net and calculate the area.

• Surface Area = 30 cm² + P * 15 cm

• Surface Area = 120 cm²

• Surface Area = 24 cm² + P * 10 cm (where P is the perimeter of the triangular base)

• Surface Area = 60 cm² + P * 5 cm

You are building a model of a house that is a rectangular prism with a length of 12 m, a width of 8 m, and a height of 6 m. Draw the net and find the total surface area of the house.

• 512 m²

• 384 m²

• 256 m²

• 432 m²

A box is to be made from a piece of cardboard that is 20 cm by 30 cm. If you cut out squares of 5 cm from each corner and fold up the sides, what will be the surface area of the box? Draw the net to help visualize.

• 500 cm²

• 600 cm²

• 800 cm²

• 700 cm²

A gift box is shaped like a cylinder with a radius of 4 cm and a height of 10 cm. Calculate the surface area of the box and draw the net to show how it would be wrapped.

• The surface area of the gift box is approximately 351.68 cm².

• The surface area of the gift box is 300 cm².

• The surface area of the gift box is 200 cm².

• The surface area of the gift box is 450 cm².