Volume with fractional edges Knowledge-Based Download PDF

Questions

1. 1.

   A right rectangular prism is completely packed without gaps using 72 identical cubes, each having an edge length of $\frac{1}{4}\text{ meter}$. What is the volume of the prism in cubic meters?

   • A) $4\frac{1}{2}\text{ cubic meters}$
   • B) $2\frac{1}{4}\text{ cubic meters}$
   • C) $1\frac{1}{8}\text{ cubic meters}$
   • D) $\frac{9}{16}\text{ cubic meter}$
2. 2.

   A cube has an edge length of $\frac{2}{5}\text{ meter}$. How much greater, in cubic meters, is the volume of a right rectangular prism with dimensions $\frac{3}{5}\text{ meter}$ by $\frac{1}{2}\text{ meter}$ by $\frac{4}{5}\text{ meter}$ than the volume of the cube?

   • A) $\frac{22}{125}\text{ cubic meter}$
   • B) $\frac{14}{125}\text{ cubic meter}$
   • C) $\frac{2}{25}\text{ cubic meter}$
   • D) $\frac{4}{25}\text{ cubic meter}$
3. 3.

   How many cubes with edge lengths of $\frac{1}{4}\text{ foot}$ are needed to completely pack a right rectangular prism with a length of $1\frac{1}{2}\text{ feet}$, a width of $\frac{3}{4}\text{ foot}$, and a height of $1\text{ foot}$?

   • A) 18
   • B) 72
   • C) 48
   • D) 144
4. 4.

   A right rectangular prism has a volume of $\frac{7}{10}\text{ cubic meter}$, a length of $\frac{3}{4}\text{ meter}$, and a width of $\frac{2}{5}\text{ meter}$. What is the height of the prism in meters?

   • A) $2\frac{1}{3}\text{ meters}$
   • B) $\frac{3}{7}\text{ meter}$
   • C) $\frac{21}{100}\text{ meter}$
   • D) $1\frac{2}{5}\text{ meters}$
5. 5.

   A right rectangular prism has a length of $1\frac{1}{2}\text{ meters}$, a width of $\frac{4}{5}\text{ meter}$, and a height of $2\frac{1}{3}\text{ meters}$. What is the volume of the prism in cubic meters?

   • A) $4\frac{19}{30}\text{ m}^3$
   • B) $2\frac{4}{5}\text{ m}^3$
   • C) $2\frac{2}{15}\text{ m}^3$
   • D) $4\frac{3}{8}\text{ m}^3$