Question

Which expression represents the total surface area, in square centimeters, of the square pyramid?

A square pyramid. The square base has side lengths of 8.2 centimeters. The triangular sides have a height of 10.3 centimeters.
(8.2) (8.2) + 4 (one-half (8.2) (10.3))
(8.2) (8.2) + 4 (one-half (8.2) (11.1))
(8.2) (10.3) + 2 (one-half (10.3) (10.3)) + 2 (one-half (8.2) (10.3))
(8.2) (10.3) + 2 (one-half (10.3) (11.1)) + 2 (one-half (8.2) (11.1))

Answer 1

Answer:

(A)$(8.2)(8.2)+4( \frac{1}{2})(8.2)(10.3)$

Step-by-step explanation:

A Square Pyramid has a Square Base and 4 triangular faces.

The Surface Area of a Square Pyramid=Area of Square Base+Area of the 4 Triangular faces

Side Lengths of Square Base=8.2cm

Height of the Triangular faces =10.3cm

Therefore:

Area of the Square Base $=s^2=8.2^2=(8.2)(8.2)$

Area of one Triangular Face$=\frac{1}{2}bh= \frac{1}{2}*8.2*10.3$

Therefore:

Area of the Pyramid$=(8.2)(8.2)+4( \frac{1}{2})(8.2)(10.3)$

Answer 2

Answer:

The answer is “A”

Step-by-step explanation: