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 2/3 cm³ 43 3/4 cm³ 58 1/3 cm³ 87 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 $h = 7$ cm and $A = 25$ $cm^{2}$, then $V=\frac{1}{3}\times25\times7=\frac{175}{3}=58\frac{1}{3}$ $cm^{3}$.

Answer:

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