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Volume of Rectangular Prisms: Grade 6 Math Quiz – PDF Download

    Volume of Rectangular Prisms – Grade 6 math quiz

    This quick quiz has ten multiple-choice questions on the volume of rectangular prisms, including fractional edges and cube packing. Choose one answer for each question. After you finish, read each explanation to see the common mistake behind the wrong choices.

    Grade 6Common Core: 6.G.A.2
    🎯 Volume of Rectangular Prisms – Grade 6 math quiz
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    Question 1
    5 units3 units4 units
    Prism for Question 1.

    What is the volume of the rectangular prism shown?

    A 12 cubic units
    B 94 cubic units
    C 60 cubic units
    D 20 cubic units
    Question 2
    Which unit is best for measuring the volume of a shipping box?
    A cubic inches
    B square inches
    C inches
    D pounds
    Question 3
    A prism has a base area of \(18\text{ ft}^2\) and a height of \(5\text{ ft}\). What is its volume?
    A \(23\text{ ft}^3\)
    B \(45\text{ ft}^3\)
    C \(180\text{ ft}^3\)
    D \(90\text{ ft}^3\)
    Question 4
    cube edge = 1/2 unit
    Prism for Question 4.

    The prism is packed with cubes that have edges of \(\frac{1}{2}\) unit. What is the volume of the prism?

    A 3 cubic units
    B 24 cubic units
    C 12 cubic units
    D 6 cubic units
    Question 5
    What is the volume of a prism that is \(8\text{ in}\) long, \(\frac{1}{2}\text{ in}\) wide, and \(\frac{1}{2}\text{ in}\) tall?
    A \(4\text{ in}^3\)
    B \(2\text{ in}^3\)
    C \(9\text{ in}^3\)
    D \(16\text{ in}^3\)
    Question 6
    A prism has a volume of \(96\text{ ft}^3\), a length of \(8\text{ ft}\), and a width of \(4\text{ ft}\). What is its height?
    A \(12\text{ ft}\)
    B \(24\text{ ft}\)
    C \(8\text{ ft}\)
    D \(3\text{ ft}\)
    Question 7
    What is the volume of a cube with edges of \(5\text{ ft}\)?
    A \(15\text{ ft}^3\)
    B \(25\text{ ft}^3\)
    C \(125\text{ ft}^3\)
    D \(150\text{ ft}^3\)
    Question 8
    12 ft4 ft8 ft
    Pool for Question 8.

    A pool is a rectangular prism. How many cubic feet of water fill the pool to the top?

    A \(24\text{ ft}^3\)
    B \(384\text{ ft}^3\)
    C \(96\text{ ft}^3\)
    D \(192\text{ ft}^3\)
    Question 9
    A prism has a volume of \(72\text{ ft}^3\) and a base area of \(18\text{ ft}^2\). What is its height?
    A \(54\text{ ft}\)
    B \(4\text{ ft}\)
    C \(90\text{ ft}\)
    D \(1{,}296\text{ ft}\)
    Question 10
    A planter is \(4\text{ ft}\) long, \(1\frac{1}{2}\text{ ft}\) wide, and \(1\text{ ft}\) deep. Soil costs \(\$3\) per cubic foot. What is the cost to fill the planter?
    A \(\$12\)
    B \(\$24\)
    C \(\$18\)
    D \(\$6\)

    🎉 Quiz complete!

    0 / 10

    Remember:

    • \(V = \ell \times w \times h\) and \(V = B \times h\) give the same volume.
    • Volume is measured in cubic units such as in\(^3\) or ft\(^3\).
    • A cube with edge \(\frac{1}{2}\) has volume \(\frac{1}{8}\) cubic unit.
    • To find a missing height, divide the volume by the base area.

    See every chapter on the Grade 6 math page.

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