Carol is going to make a wooden pyramid and then paint it. She drew the net of a square pyramid as shown below to help her plan
the project. What should be the total surface area in square feet of Carol's pyramid?
1. 15.0
2. 21.0
3. 24.0
1. 15.0
2. 21.0
3. 24.0
1 answer:
The given pyramid's total surface area is 3. 24.0 square feet.
Step-by-step explanation:
Step 1:
To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.
There are 3 triangles and 1 square in the figure.
Step 2:
All the triangles are similar.
The surface area of a triangle =
The similar triangles have a base length of 3 feet and a height of 2.5 feet.
The surface area of 1 similar triangle = square feet.
The surface area for all the similar triangles = square feet.
Step 3:
The surface area of a square is the square of its side length. The square has a side length of 3 feet.
The surface area of the square = square feet.
Step 4:
To calculate the total surface area we sum up all the individual surface area.
The total surface area = square feet which is the third option.
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Answer: 5,720
Step-by-step explanation: The number shown here 5.72 × 10³ is written in scientific notation since it's composed of a decimal between 1 and 10 in this case 5.72 and a power of 10 in this case 10³. To write 5.72 × 10³ in standard notation, we first begin with 5.72.
Next, we look at the exponent which in this case is positive 3. The exponent tells us to move the decimal point three places to the right.
Finally, we fill in the missing positions with zeros.
Therefore, 5.72 × 10³ written in standard notation is 5,720.
