Testinar Grade 6 math

Volume of Rectangular Prisms

Students will build Grade 6 mastery of volume of rectangular prisms using models, equations, and test-style reasoning.

CH04-03 Geometry
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. A rectangular prism has length \(4\) ft, width \(3\) ft, and height \(2\frac{1}{2}\) ft. What is its volume?

    1. \(9.5\) ft\(^3\)
    2. \(24\) ft\(^3\)
    3. \(30\) ft\(^3\)
    4. \(60\) ft\(^3\)

  2. What is the volume of the rectangular prism?

    Volume of Rectangular Prisms visual for G6-C04-T03-Q002
    1. \(10\) cm\(^3\)
    2. \(15\) cm\(^3\)
    3. \(30\) cm\(^3\)
    4. \(50\) cm\(^3\)

  3. A storage box has dimensions \(2\frac{1}{2}\) m by \(1\frac{1}{2}\) m by \(2\) m. Find its volume.

    1. \(6\) m\(^3\)
    2. \(7.5\) m\(^3\)
    3. \(9\) m\(^3\)
    4. \(12.5\) m\(^3\)

  4. A rectangular prism has a base area of \(12\) in\(^2\) and a height of \(5\) in. What is its volume?

    1. \(17\) in\(^3\)
    2. \(24\) in\(^3\)
    3. \(36\) in\(^3\)
    4. \(60\) in\(^3\)

  5. A rectangular prism has volume \(120\) cm\(^3\), width \(5\) cm, and height \(4\) cm. What is its length?

    1. \(4\) cm
    2. \(6\) cm
    3. \(8\) cm
    4. \(15\) cm

  6. Maya is building a garden box with dimensions \(3\frac{1}{2}\) ft long, \(2\) ft wide, and \(1\frac{1}{2}\) ft deep. How many cubic feet of soil does she need?

    1. \(7\) ft\(^3\)
    2. \(8.5\) ft\(^3\)
    3. \(10.5\) ft\(^3\)
    4. \(14\) ft\(^3\)

  7. What is the volume of a rectangular prism with length \(6\) in, width \(4\) in, and height \(2\) in?

    1. \(12\) in\(^3\)
    2. \(24\) in\(^3\)
    3. \(36\) in\(^3\)
    4. \(48\) in\(^3\)

  8. A small box is \(7\) cm long, \(3\) cm wide, and \(2\) cm tall. What is its volume?

    1. \(12\) cm\(^3\)
    2. \(21\) cm\(^3\)
    3. \(28\) cm\(^3\)
    4. \(42\) cm\(^3\)
Teacher and parent reference

Answer key and explanations

  1. C. \(30\) ft\(^3\)

    Volume \(=L\times W\times H=4\times3\times2.5=30\) ft\(^3\).

  2. C. \(30\) cm\(^3\)

    Using \(V = L \times W \times H\), we have \(V = 5 \times 2 \times 3 = 30\) cm\(^3\).

  3. B. \(7.5\) m\(^3\)

    \(V = 2.5 \times 1.5 \times 2 = 3.75 \times 2 = 7.5\) m\(^3\).

  4. D. \(60\) in\(^3\)

    Using \(V = B \times h = 12 \times 5 = 60\) in\(^3\).

  5. B. \(6\) cm

    From \(V = L \times W \times H\), we have \(120 = L \times 5 \times 4\). So \(L = 120 \div 20 = 6\) cm.

  6. C. \(10.5\) ft\(^3\)

    \(V = 3.5 \times 2 \times 1.5 = 7 \times 1.5 = 10.5\) ft\(^3\).

  7. D. \(48\) in\(^3\)

    \(V = 6 \times 4 \times 2 = 24 \times 2 = 48\) in\(^3\).

  8. D. \(42\) cm\(^3\)

    \(V = 7 \times 3 \times 2 = 21 \times 2 = 42\) cm\(^3\).

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