Grade 5 · Math
3.Two boxes each have a volume of 48 in³. List three possible whole-number dimension sets for a box with this volume.
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Grade 5 · Math
4.A box has dimensions 2 ft by 3 ft by 2 ft. How many 1-ft³ cubes can fit inside the box?
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Grade 5 · Math
5.A sandbox has dimensions 5 ft by 4 ft by 1 ft. Find the volume of the sandbox. Then explain what 1 cubic foot means in this context.
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Grade 5 · Math
6.Which box holds more? Box A or Box B?
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Grade 5 · Math
7.A container has a volume of 120 cm³. The length is 5 cm and the width is 4 cm. Find the height.
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Grade 5 · Math
8.Design a rectangular container with a volume of 72 cubic units. Draw it, label the dimensions, and verify the volume.
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Grade 5 · Math
1.L-shape A is made of a 4 × 2 × 2 prism and a 2 × 2 × 1 prism. Find the total volume.
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Grade 5 · Math
2.Draw a dashed cut in L-shape A and label the two component prisms.
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Grade 5 · Math
3.L-shape B is made of a 5 × 3 × 1 prism and a 2 × 2 × 2 prism. Find the total volume.
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Grade 5 · Math
4.Use a different cut for L-shape B. Show that the sum is unchanged.
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Grade 5 · Math
5.Complete the table for L-shape B using the given component prisms.
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Grade 5 · Math
6.A student claims, “The overlapping cubes can be counted twice.” Use the overlap sketch to explain why this is not correct.
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Grade 5 · Math
7.Build a composite solid of two non-overlapping prisms with a total volume of 100 cm³. Draw the solid and label all dimensions.
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Grade 5 · Math
8.The same L-shape can be decomposed two ways. Which decomposition is more efficient? Show both equations.
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Grade 5 · Math
1.Design three different rectangular boxes, each with a volume of 240 in3. Record the length, width, and height for each design.
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Grade 5 · Math
2.Verify each design by calculating l × w × h.
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Grade 5 · Math
3.Draw an open box net for your best design. Label all dimensions.
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Grade 5 · Math
4.Compare two box designs for fitting in a backpack. Find each volume and explain which fits better.
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Grade 5 · Math
5.A box is 8 × 5 × 6 in. How many 1-in3 cubes fit inside?
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Grade 5 · Math
6.Create a two-prism display stand with a total volume of 240 in3. Label both component prisms.
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Grade 5 · Math
7.Find and correct the error in the student's statement. Show the corrected product or a new design that equals 240 in³.
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Grade 5 · Math
8.Which box design is best for a backpack and why? Use dimensions and volume in your explanation.
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Grade 5 · Math
Write x and y on the correct axes. Circle the origin.
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Grade 5 · Math
Plot A(3,2), B(2,3), C(0,4), D(5,0).
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