Lesson

 

Notes

Questions

\(\textbf{1)}\) Find the volume of a pyramid with height \(8\) ft and a square base with sides of length \(12\) ft.

Show Answer

The volume is \( 384 \) cubic feet

Show Work

\(\,\,\,\,\,\,\text{Volume}=\frac{1}{3}\left(\text{Base Area}\right)\left(\text{Height}\right)\)
\(\,\,\,\,\,\,\text{Volume}=\frac{1}{3}\cdot12^2\cdot8\)
\(\,\,\,\,\,\,\text{Volume}=\displaystyle\frac{1152}{3}\)
\(\,\,\,\,\,\,\)The volume is \( 384 \) cubic feet

 

\(\textbf{2)}\) Find the Surface Area of a pyramid with height \(8\) ft and a square base with sides of length \(12\) ft.

Show Answer

The surface area is \( 384 \) square feet

 

\(\textbf{3)}\) Find the Lateral Area of a pyramid with height \(8\) ft and a square base with sides of length \(12\) ft.

Show Answer

The lateral area is \( 240 \) square feet

 

See Related Pages\(\)

\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)

\(\bullet\text{ Rectangular Prisms- Volume}\)
\(\,\,\,\,\,\,\,\,\)\(V=l \cdot w \cdot h…\)

\(\bullet\text{ Rectangular Prisms- Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(SA=lw+wh+lh…\)

\(\bullet\text{ Distance Formula 3D}\)
\(\,\,\,\,\,\,\,\,d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2…}\)

\(\bullet\text{ Diagonal of a Prism}\)
\(\,\,\,\,\,\,\,\,\)\(d=\sqrt{l^2+w^2+h^2}…\)

\(\bullet\text{ Cylinders- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(V=\pi r^2h\,\,\,SA=2\pi r^2+2 \pi rh…\)

\(\bullet\text{ Cones- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(V=\frac{1}{3}\pi r^2 h\,\,\,SA=\pi r^2+\pi r l…\)

\(\bullet\text{ Spheres- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(V=\frac{4}{3}\pi r^3 \,\,\,SA=4 \pi r^2…\)

\(\bullet\text{ Similar figures}\)
\(\,\,\,\,\,\,\,\,\text{Similarity ratio } a:b, \text{Area ratio } a^2:b^2, \text{Volume ratio } a^3:b^3\)

\(\bullet\text{ Nets of Polyhedra}\)
\(\,\,\,\,\,\,\,\,\)