Question

HELP SOMEONE

A square based pyramid is
shown. Determine the total
surface area of the pyramid
given each side of the square
is 10 cm and the height of
the pyramid is 12 cm.
(Figure may not be drawn to scale.)
a.
260 cm²
b. 320 cm²
10 cm-

I 12 cm
C.360 cm²
D.400 cm²
10 cm

Answer 1

C. 360 cm²

Explanation:

The total surface area of a square based pyramid is calculated by adding the area of the base (which is a square) and the areas of the four triangular faces. The area of the base is 10 cm x 10 cm = 100 cm². The area of each triangular face is 1/2 x base x height, so the total area of all four faces is 1/2 x 10 cm x 10 cm x 12 cm = 600 cm². Therefore, the total surface area of the pyramid is 100 cm² + 600 cm² = 700 cm² = 360 cm².