Question

Please someone help me !! :(

Answer 1

Answer: 27 times bigger.

Step-by-step explanation:

You need to use the following formula to find the volume of a Square pyramid:

$V=\frac{1}{3}s^2h$

Where "s" is the edge of a side of the square base and "h" is the height of the pyramid.

Knowing that:

$s_A=12\ in\\\\h_A=8\ in\\\\\\s_B=36\ in\\\\h_B=24\ in$

You can find the volume of the Pyramid A and the volume of the Pyramid B:

$V_A=\frac{1}{3}(12\ in)^2(8\ in)\\\\V_A=384\ in^3\\\\\\V_B=\frac{1}{3}(36\ in)^2(24\ in)\\\\V_B=10,368\ in^3$

Finally divide the volume of the Pyramid B and the volume of the Pyramid A, in order to find how many times bigger than the Pyramid A is the Pyramid B.

You get:

$\frac{10,368\ in^3}{384\ in^3}=27$