Question

(Photo)

Answer 1

Answer:  The correct options is (D) 128 units³.

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

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

$V=\dfrac{1}{3}\times b\times h.$

In the given figure, we have

base area = 8 × 8 = 64 units²   and   height, h = 6 units.

Therefore, the volume of the regular pyramid is

$V=\dfrac{1}{3}\times b\times 64\times 6=\dfrac{1}{3}\times =128~\textup{units}^3.$

Thus, the required volume is 128 units³.

Option (D) is correct.

Answer 2

First, set up the equation.
V=(l*w*h)/3
Substitute the values for the variables.
V=(8*8*6)/3
Simplify.
V=(384)/3
V=128 cubic units