Question

The base is the pyramid is an equilateral triangle. What is the approximate volume of the pyramid? Pyramid with a triangular base where the top leans to the left. One side of the base is ten centimeters long. The distance from the top of the pyramid to a dotted line extending from the base is four centimeters. The distance from one corner of the base to the center of the opposite side is eight point six six centimeters. Question 1 options: 173.2 c m cubed 28.9 c m cubed 57.7 c m cubed 125 c m cubed

Answer 1

ANSWER

$\boxed { C. \: \: \: 57.7 {cm}^{3} }$

EXPLANATION

The volume of a pyramid is given by the formula,


$V = \frac{1}{3} \times base \: area \times height$


The base of the pyramid is an equilateral triangle.


The base area is

$= \frac{1}{2} \times base \times height$


$= \frac{1}{2} \times 10 \times 8.66$


$= 43.3 {cm}^{2}$


The volume of the pyramid is now equal to:


$V = \frac{1}{3} \times 43.3 \times 4 {cm}^{3}$



$V = 57.7{cm}^{3}$