Question

HELP ME PLSSSSSSS

A square pyramid has a base measuring 10 inches on each side. The height of the pyramid is 5 inches.

A similar square pyramid has a base measuring 2.5 inches on each side.

How do the surface areas of these pyramids compare?

Drag a value to the box to correctly complete the statement.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The surface area of the larger pyramid is Response area times the surface area of the smaller pyramid.

Answer 1

The surface area of a square pyramid is proportional to the square of its dimensions. Since the base length of the larger pyramid is 4 times that of the smaller pyramid (10 inches vs. 2.5 inches), its surface area is 4^2 = 16 times greater than that of the smaller pyramid. The height of the pyramid does not affect this ratio, because surface area is only proportional to the square of the dimensions of the base.

Answer 2

The surface area of the larger pyramid is 16 times area times the surface area of the smaller pyramid.

Explanation:

10^2= 100

2.5^2= 6.25

100/6.25=16