Volume with fractional edges Knowledge-Based Practice

Questions

1. 1.

   What is the difference between the volume of a right rectangular prism measuring $2\frac{1}{2}$ feet by $1\frac{1}{5}$ feet by $1\frac{1}{3}$ feet and the volume of a cube with an edge length of $1\frac{1}{2}$ feet?

   • A) $\frac{1}{4}$ cubic foot
   • B) $\frac{3}{8}$ cubic foot
   • C) $\frac{1}{2}$ cubic foot
   • D) $\frac{5}{8}$ cubic foot
2. 2.

   A right rectangular prism is completely packed with 96 identical cubes, each having an edge length of $\frac{1}{4}$ inch. What is the volume of the prism?

   • A) 24 cubic inches
   • B) 6 cubic inches
   • C) $1\frac{1}{2}$ cubic inches
   • D) $\frac{2}{3}$ cubic inch
3. 3.

   How many cubes with edge lengths of $\frac{1}{4}$ centimeter are needed to completely pack a right rectangular prism with a length of $1\frac{1}{2}$ centimeters, a width of $\frac{3}{4}$ centimeter, and a height of $1\frac{1}{4}$ centimeters without any gaps?

   • A) 45
   • B) 90
   • C) 60
   • D) 14
4. 4.

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

   • A) $1\frac{1}{2}$ inches
   • B) $1\frac{3}{4}$ inches
   • C) $2\frac{1}{4}$ inches
   • D) $2\frac{1}{2}$ inches
5. 5.

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

   • A) $11\frac{2}{3}$
   • B) $7\frac{5}{12}$
   • C) $6\frac{1}{12}$
   • D) $8\frac{3}{4}$

Answers and step-by-step solutions appear after you finish the test.