Volume of Rectangular Prisms: Sample FAST Questions
Students solve mathematical and real-world problems involving the volume of right rectangular prisms with positive rational edge lengths, using both visual models and the formula V = lwh. Edge lengths can be fractions or decimals, and students also find a missing dimension when the volume is known.
How the FAST tests this benchmark
On the FAST, students see equation editor items computing volume from labeled prisms (often with fractional edges) and items solving for a missing edge length given the volume.
Skills students need
Find the volume of right rectangular prisms with rational edge lengths
Find a missing dimension given the volume
Try 4 real MA.6.GR.2.3 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
A rectangular prism is shown. The volume of the prism is 80 cubic centimeters. What is the height, in centimeters, of the prism?
Figure: a rectangular prism with depth 2 cm, width 8 cm, height ?, volume V = 80 cm³.
Figure may not be drawn to scale
Correct answer: A. 5 cm
This explanation shows one way to solve the problem.
Set up equation: Volume =l×w×h, so 80=8×2×h.
Simplify base area: 8×2=16, so the equation becomes 80=16×h.
Solve for h: h=80÷16=5 cm.
Final Answer
5 cm
Question 2MediumEquation Editor
A block of clay is shaped like a rectangular prism. What is the volume, in cubic centimeters, of the clay block?
Figure: a rectangular prism with depth 6 cm, width 3.5 cm, height 2 cm.
Figure may not be drawn to scale
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 42
This explanation shows one way to solve the problem.
Apply volume formula: V=3.5×6×2
Multiply step by step: 3.5×6=21, then 21×2=42 cm³
Final Answer
42
Question 3MediumEquation Editor
A container is shown. The container has a volume of 75 cubic centimeters. What is the height, in centimeters, of the container?
Figure: a rectangular prism with depth 2.5 cm, width 6 cm, height ?, volume V = 75 cm³.
Figure may not be drawn to scale
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 5
This explanation shows one way to solve the problem.
Set up equation: Volume =l×w×h, so 75=6×2.5×h.
Simplify base area: 6×2.5=15, so the equation becomes 75=15×h.
Solve for h: h=75÷15=5 cm.
Final Answer
5
Question 4HardEquation Editor
A rectangular prism is shown. The volume of the prism is 32 cubic centimeters. What is the height, in centimeters, of the prism?
Figure: a rectangular prism with depth 1/2 cm, width 1/3 cm, height ?, volume V = 2/3 cm³.
Figure may not be drawn to scale
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 4
This explanation shows one way to solve the problem.
Set up equation: Volume =l×w×h, so 32=31×21×h.
Simplify base area: 31×21=61, so the equation becomes 32=61×h.
Solve for h: Divide both sides by 61:h=1/62/3=32×16=312=4 cm.
Final Answer
4
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