Question
Using the net of the prism shown, what is its surface area?
(1 point)
(1 point)
Answers
GPT 3.5
To find the surface area of the prism, we need to calculate the sum of the areas of all its faces.
1. There are 2 square faces with side length 4 cm each. The area of each square face is 4 cm x 4 cm = 16 cm^2.
So, the total area of both square faces is 2 x 16 cm^2 = 32 cm^2.
2. There are 3 rectangular faces with dimensions 4 cm by 6 cm, 4 cm by 6 cm, and 6 cm by 6 cm.
The area of the first two rectangular faces is 4 cm x 6 cm = 24 cm^2 each. The area of the last rectangular face is 6 cm x 6 cm = 36 cm^2.
So, the total area of all three rectangular faces is 2 x 24 cm^2 + 36 cm^2 = 84 cm^2.
Therefore, the total surface area of the prism is 32 cm^2 + 84 cm^2 = 116 cm^2.
1. There are 2 square faces with side length 4 cm each. The area of each square face is 4 cm x 4 cm = 16 cm^2.
So, the total area of both square faces is 2 x 16 cm^2 = 32 cm^2.
2. There are 3 rectangular faces with dimensions 4 cm by 6 cm, 4 cm by 6 cm, and 6 cm by 6 cm.
The area of the first two rectangular faces is 4 cm x 6 cm = 24 cm^2 each. The area of the last rectangular face is 6 cm x 6 cm = 36 cm^2.
So, the total area of all three rectangular faces is 2 x 24 cm^2 + 36 cm^2 = 84 cm^2.
Therefore, the total surface area of the prism is 32 cm^2 + 84 cm^2 = 116 cm^2.