Question

A picture shows the net of a pyramid. Three statements about this pyramid are true. Which statement is NOT true?

A: The slant height of the pyramid is 12 in.
B: The total surface area of this pyramid is (5 x 5)in. + (.5 x 5 x 12)in
C: The area of the base is 25 in.

Answer 1

b

Explanation:

Answer 2

We can immediately confirm C is TRUE because the base is simply 5x5=25 square inches.
Now looking at A, the definiton of "slant height" is that if you ran a ruler up one of the sides of the pyramid, thats it. So imagine building this net, the red line would be referring to the slant height, A is TRUE.

Answer: B is NOT TRUE.

In fact, the equation of the surface of the pyramid is far more complicated than the one proposed in the question. For reference, the area of a pyramid is given by:

`A=lw+l \sqrt{ (w)/(2) ^(2) + h^(2) } +w \sqrt{(l)/(2) ^(2) + h^(2)}`