Question

The bottom shape is a cube with base edges of 24 yards. The top shape is a right pyramid with a height of 5 yards. What is the surface area of this composite figure?

a.2,928 yd2

b.3,504 yd2

c.2,880 yd2

d. 624 yd2

Answer 1

Lets see here, the edges of the cube are 24 yards, so the equation for the area would be 24^2 * 6 since you have 6 faces and the area for each face is the edge length squared. Now the area of the pyramid on top is a little trickier. There's probably an exact equation for this, but I dunno so I'm gonna do it the way I would. The base is going to have a radius to each edge of 12 yards which is and x component to the triangle I'm about to make. The y component is the height. All you have to do is remember Pythagoras's theroum. which is squrt(a^2 + b^2) = c which is the height of the triangle and the base which will be 24 yards. The area is 1/2 * height * base and the area outside would just be 4 of those added together and the total would be that plus 5 areas of the faces of the cube ( since the top of the cube is inside as well as the base of the pyramid).

Answer 2

5(24^2) +4(1/2( squrt(24^2 + 5^2))(24)) = Area. Sorry, I can't give out answers specifically since it degrades my integrity.