Notes

 

Questions

Find the length of the internal diagonal of the following prisms

\(\textbf{1)}\) A cube with edges \(3\) cm

Show Answer

The internal diagonal is \( 3\sqrt{3} \) cm

 

\(\textbf{2)}\) A prism with edges \(3\), \(4\) and \(5\) meters

Show Answer

The internal diagonal is \( 5\sqrt{2} \) meters

 

See Related Pages\(\)

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

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

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

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

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

\(\bullet\text{ Pyramids- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)\(V=\frac{1}{3}Bh\,\,\,SA=B+\frac{pl}{2}…\)

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

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

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

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