Question

https://app38.studyisland.com/pics/257295number5.png
If x = 10 inches and y = 15 inches, where y is the height of each triangle of the pyramid, what is the surface area of the figure?
1,000 square inches
700 square inches
800 square inches
900 square inches

Answer 1

please help me

Answer 2

I will, let me try.

Answer 3

they tell us that y is the height of the each triangle of the pyramid.
So we find the area of one triangle.

Use the formula of the area of the triangle:

I/2bh

we know that h=15

As for b it is 10inchs because the picture is telling us that each side length of the cube is 10 thus the base of the triangle is 10

so when we substitute it in we get:
1/2 (10)(15)
1/2(150)
75

so the area of one triangle is 75, but in a pyramid we have 4 triangles so we multiple the answer by 4 in order to find the area of all the triangles.

75x4=300

Now we need to find the area of one square of the cube underneath the pyramid:
the area formula for a square is s^2

It tells us that one side of a square is 10 inches long so we substitute it in the equation and get that the area of the square is a 100

But remember, on a cube there is six sides (or squares)

so we multiple the answer by 6 in order to get the area of all 6 squares:
you get 600

Now then, to get the area of the shape in the picture, simply add the two answers together:
300+600= 900
And that's the answer.

Answer 4

Actually, since the pyramid is stacked on top of the cube, then you eliminate one of the sides, so Nona-Maria was close, but instead of getting 600, you get 500, therefore you add 300+500 thus equaling 800. :)