Question

A square pyramid is attached to the top of a cube.

If x= 14 inches and y=21 inches, where y is the height of each triangle of the pyramid, what is the surface area of the figure?

O A. 1,960 square inches
O B. 1,764 square inches
O C. 1,372 square inches
O D. 1,568 square inches​

Answer 1

B. 1,764 square inches

Explanation:

To find the surface area of the figure, we need to add the areas of the cube and the pyramid. The cube has six faces, each with an area of x^2. The pyramid has four faces, each with an area of (1/2) * x * y. So, the surface area of the figure is:

`SA = 6x^2 + 4(1/2)xy`

Plugging in the values of x and y, we get:

`SA = 6(14)^2 + 4(1/2)(14)(21)`

`SA = 1,176 + 588`

`SA = 1,764`