Question

A rectangular pyramid has a volume of 1,296 mc014-1.jpg, a height of 24 in., and a base length of 6 in. What is the width of its base?

Answer 1

the answer is 9 (B)

Explanation:

6 x 9 = 54

54 x 24 = 1.296

Answer 2

`\bf \textit{volume of a pyramid}=V=\cfrac{1}{3}Bh\qquad \begin{cases} B= \begin{array}{llll} \textit{base of it, that is,}\\ width* length \end{array}\\\\ h=height\\ l=length\\ w=width\\ --------\\ V=1296\\ h=24\\ l=6 \end{cases} \\\\\\ V=\cfrac{1}{3}(wl)h\implies 1296=\cfrac{1}{3}\cdot w\cdot 6\cdot 24`

solve for "w"