Lesson

 

Notes

Questions

Find the Volume of the following rectangular prisms

\(\textbf{1)}\)

Show Volume

The Volume is \( 84\) cubic units

 

\(\textbf{2)}\)

Show Volume

The Volume is \( 2,000\) cubic inches

 

\(\textbf{3)}\)

Show Volume

The Volume is \( 16,875\) cubic cm

 

\(\textbf{4)}\)

Show Volume

The volume is \( 70 \) cubic units

 

\(\textbf{5)}\)

Show Volume

The volume is \( 20 \) cubic units

 

\(\textbf{6)}\)

Show Volume

The volume is \( 40 \) cubic units

 

Challenge Problems

\(\textbf{7)}\) A fish tank has a width of 48 inches, a length of 36 inches, and a height of 24 inches. It is filled with water until it is 1 foot deep. You place a decorative stone in the tank, it raises the water level 2 inches. What is the volume of the decorative stone?

Show Answer

The volume of the stone is \( 3{,}456 \) cubic inches

Show Work

\(\,\,\,\,\,\,(48)(36)(14)-(48)(36)(12)\)
\(\,\,\,\,\,\,24{,}192-20{,}736\)
\(\,\,\,\,\,\,3{,}456\)

 

 

See Related Pages\(\)

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

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

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

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

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

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

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

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

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

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