Two identical square pyramids were joined at their bases to form the composite figure below.

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

Step-by-step explanation:

The given options are

A. 8 (one-half (24) (5))

B. 8 (one-half (24) (13))

C. (24) (24) + 8 (one-half (24) (5))

D. (24) (24) + 8 (one-half (24) (13))

We, should know that, the base area is covered and it cannot be seen, so the shape does not have a physical base area.

Then,

We need to find the area of the 8 sides triangle that formed the pyramid

Area of a triangle is ½base × height

But for a pyramid the height is the slant height

Then, the eight triangles are identical

Then, the area of the eight triangles is

A = 8 × ½ base × slant height

From the diagram,

The base length is 24cm

And the slant height is 13cm

Then,

A = 8 × ½ b × l

A = 8 × one-half × 24 × 13

A = 8(one-half)(24)(13) cm²

So, the correct answer is B

Numeral value

A = 8 × ½ × 24 × 13

A = 1248 cm²