Question

the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. what is the volume of the pyramid? 11\frac{2}{3} cm³ 43\frac{3}{4} cm³ 58\frac{1}{3} cm³ 87\frac{1}{2} cm³

Explanation:

Step1: Calculate base - area

The base is a square with edge length $a = 5$ cm. The area of a square $A=a^{2}$, so $A = 5^{2}=25$ $cm^{2}$.

Step2: Use volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Ah$, where $A$ is the base - area and $h$ is the height. Given $A = 25$ $cm^{2}$ and $h = 7$ cm, then $V=\frac{1}{3}\times25\times7=\frac{175}{3}=58\frac{1}{3}$ $cm^{3}$.

Answer:

$58\frac{1}{3}$ $cm^{3}$