the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. what…

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

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

Answer

Answer:

C. $58\frac{1}{3}\text{ cm}^3$

Explanation:

Step1: Calculate base - area

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

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