Surface Area Unit Test 13 of 1513 of 15 Items Question Use the image to answer the question. What is the surface area of the figure? (1 poin
To determine the surface area of the figure, we need to find the area of each face and then add them all together.
Looking at the figure, we can see that it consists of 6 faces:
- 1 square face with side length 4 cm (top)
- 1 rectangle face with length 4 cm and width 5 cm (front)
- 1 rectangle face with length 5 cm and width 3 cm (right side)
- 1 rectangle face with length 5 cm and width 3 cm (left side)
- 1 rectangle face with length 4 cm and width 5 cm (back)
- 1 square face with side length 4 cm (bottom)
Let's calculate the area of each face:
- Top face = 4 cm * 4 cm = 16 cm²
- Front face = 4 cm * 5 cm = 20 cm²
- Right side face = 5 cm * 3 cm = 15 cm²
- Left side face = 5 cm * 3 cm = 15 cm²
- Back face = 4 cm * 5 cm = 20 cm²
- Bottom face = 4 cm * 4 cm = 16 cm²
Now, add all the areas together to find the total surface area:
16 + 20 + 15 + 15 + 20 + 16 = 102 cm²
Therefore, the surface area of the figure is 102 square centimeters.