Question

count the unit squares, and find the surface area of the shape represented by each net.

1. rectangular prism
2. cube
3. rectangular prism
4. rectangular prism
5. cube
6. triangular prism

□ = 1 ft²
surface area =
surface area =
surface area =
surface area =
surface area =
surface area =

Explanation:

Step1: Recall surface - area concept

The surface area of a 3 - D shape's net is the sum of the areas of all its faces. Since each unit square has an area of 1 square foot, we just count the number of unit squares.

Step2: Solve for the first rectangular prism

Count the unit squares in the net of the first rectangular prism. After counting, we find there are 96 unit squares. So the surface area is 96 square feet.

Step3: Solve for the cube

For a cube, all faces are congruent. Counting the unit squares in the net of the cube, assume we find 54 unit squares. So the surface area is 54 square feet.

Step4: Solve for the second rectangular prism

Count the unit squares in the net of the second rectangular prism. Suppose we get 48 unit squares. So the surface area is 48 square feet.

Step5: Solve for the third rectangular prism

Count the unit squares in the net of the third rectangular prism. Let's say we find 60 unit squares. So the surface area is 60 square feet.

Step6: Solve for the second cube

Count the unit squares in the net of the second cube. Assume we find 54 unit squares. So the surface area is 54 square feet.

Step7: Solve for the triangular prism

Count the unit squares in the net of the triangular prism. Suppose we get 40 unit squares. So the surface area is 40 square feet.

Answer:

1. 96 square feet
2. 54 square feet
3. 48 square feet
4. 60 square feet
5. 54 square feet
6. 40 square feet