Question

The base of the solid figure shown is a cube with sides that measure 6 inches. The top portion is a square pyramid with a slant height of 5 inches. The total height of the figure is 10 inches. What is the total surface area of the solid?

a. 240 square inches


b. 264 square inches


c.276 square inches


d.300 square inches

Answer 1

The answer is A [240]

Explanation:

trust me on it

Answer 2

The answer is the option A

`240\ in^(2)`

Explanation:

we know that

The surface area of the figure is equal to the surface area of the cube (only
`5` faces) plus the surface area of the pyramid (without the area of the base)

so

Find the surface area of this cube

`SA=5*6^(2) =180\ in^(2)`

Find the surface area of this pyramid

The surface area is equal to the area of
`4` triangles

so

`SA=(1)/(2)(6*4)*5=60\ in^(2)`

Adds the surface's area

`180\ in^(2)+60\ in^(2)=240\ in^(2)`