Question

Leslie made a paperweight in the
shape of a square pyramid with
measurements shown in the
drawing below. She plans to use
gold paint to cover the total surface
area of the paperweight.
3 in.
2.6 in.
3 in.
3 in.
Which is closest to the total
surface area that Leslie will
paint?
А
16 in.2
25 in.2
с
D
45 in.2
117 in.2
B

Answer 1

9514 1404 393

Answer:

  B.  25 in^2

Step-by-step explanation:

The total surface area is the area of the square base plus the area of the four triangular faces. Each face has an area of ...

  A = 1/2bh = 1/2(3 in)(2.6 in) = 3.9 in²

The area of the square base is ...

  A = s² = (3 in)² = 9 in²

Then the total surface area is ...

  base area + 4 × face area

  9 in² +4(3.9 in²) = 24.6 in² ≈ 25 in²