Question

SOMEONE PLEASE HELPP

Answer 1

Volume of Pyramid= 1/3 x base area x h = 1/3 (6x6)(5.83) = 70
I don't have understand why you have different numbers

Answer 2

Answer:  The volume of the pyramid is (B) 48 ft³.

Step-by-step explanation:  We are given to find the volume of the pyramid shown in the figure.

The VOLUME of a pyramid with base area 'b' square units and height 'h' units is given by

$V=\dfrac{1}{3}bh.$

Here, the base is a square with side of length 6 ft, so the area of the base, 'b' is given by

$b=6\times 6=36~\textup{square units}.$

Now, as shown in the modified attached figure, ABC is a right-angles triangle at ∠B, and AC is the slanting height of 5 ft.

AB is the height of the pyramid.

BC is equal to half of the side length of the square base, so we have

$BC=\dfrac{6}{2}=3~\textup{ft}.$

Now, using Pythagoras Theorem, we have

$AC^2=AB^2+BC^2\\\\\Rightarrow AB^2=AC^2-BC^2\\\\\Rightarrow AB=\sqrt{5^2-3^2}\\\\\Rightarrow AB=\sqrt{16}\\\\\Rightarrow AB=4~\textup{ft}.$

Hence, height of the pyramid, h = 4 ft.

Therefore, the volume of the Pyramid will be

$V=\dfrac{1}{2}\times bh=\dfrac{1}{3}\times 36\times 4=48~\textup{ft}^3.$

Thus, the volume of the pyramid is 48 ft³.

Option (B) is correct.