Surface Area Nets Squares and Cubes

The shape is a _, its surface area is _.

• rectangular prism

  108 cm²

• square pyramid

  108 cm²

• square pyramid

  180 cm²

• rectangular prism

  180 cm²

A rectangular prism has side lengths of 4, 3, and 1 units. Which statements are true about the surface area? Select all that apply.

• Two of the faces each have areas of 4 square units.

• Two of the faces each have areas of 3 square units.

• Two of the faces each have areas of 16 square units.

• The total surface area of the rectangular prism is 38 square units.

• The total surface area of the rectangular prism is 48 square units.

A museum has statues in the shape of a cube, made of stone. The volume of each statue is 125 cubic feet. What is the side length of each cube?

• 4

• 25

• 5

• 10

Each choice below represents the area of a square-shaped window.

Which windows have side lengths that are perfect squares? Select all that apply.

• 16 square feet

• 8 square feet

• 9 square feet

• 25 square feet

• 4 square feet

A block of cheese in the shape of a rectangular prism has sides measuring 40 cm, 10 cm, and 10 cm in length. A farmer wants to calculate the surface area of the block to see if he has a cloth that can cover the entire block. To calculate the surface area, the farmer needs to find the areas of​ ​ ​ (a)   rectangles and ​ (b)   squares. The total surface area is ​ (c)   square centimeters.

• 2

• 4

• 6

• 8

• 1,800

• 2,400

• 3,600

• 400

FInd the Surface area of the shape below?

• 258 m²

• 268 m²

• 248 m²

• 278 m²

Which of the following statements could describe nets that show a polyhedron with a surface area of 104  square inches? Select all that apply.

• A net of a cube showing 6  square faces that each have an area of 12  square inches.

• A net of a triangular pyramid showing 4  triangular faces that each have an area of 4  square inches.

• A net of a square pyramid showing 1 square face that has an area of 36  square inches and 4 triangular faces that each have an area of 6  square inches.

• A net of a square prism showing 2 square faces that each have an area of 8  square inches and 4 rectangular faces that each have an area of 22  square inches.

• A net of a rectangular prism showing 2 rectangular faces that each have an area of 12  square inches, 2 rectangular faces that each have an area of 20  square inches, and 2 rectangular faces that each have an area of 15  square inches.

The net for a rectangular prism has three pairs of rectangles: 3 units by 8 units, 2  units by 6 units, 2 units by 4  units. What is the surface area, in square units, for this prism?

What is the Surface Area?

• 101.94

• 110.94

• 110.49

• 101.49

Vignesh is calculating the surface area of the prism whose net is given.

He performs the following steps:
1. There are two faces that each have an area of 6×4=24  square units.
2. There are two faces that each have an area of 6×6=36  square units.
3.There are two faces that each have an area of 3×4=12  square units.
4. The total surface area of the prism is 108  square units.
In which step did Vignesh first make a mistake?

• Step 1

• Step 2

• Step 3

• Step 4