Question

The diagram belows shows a pyramid glued to the top of a cube. Given that the slant height of the pyramid is 5.9 centimeters,

Find the total surface area of the solid rounded to the nearest square centimeter.

Answer 1

277.2

Explanation:

The volume of the pyramid is the area of the base (6 * 6), multiplied by the height (5.1), divided by 3. That makes the volume of the pyramid = 61.2.

The volume of a cube is the sidelength^3. That makes its volume = 6^3 = 216

216 + 61.2 = 277.2