Practice problemGrade 5 · Math
3. L-shape B is made of a 5 × 3 × 1 prism and a 2 × 2 × 2 prism. Find the total volume. 5 3 1 2 2 Total volume = cubic units
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Practice problemGrade 5 · Math
4. Use a different cut for L-shape B. Show that the sum is unchanged. 5 3 1 2 2
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Practice problemGrade 5 · Math
5. Complete the table for L-shape B using the given component prisms. Component Prism l w h Volume (cubic units) 5 × 3 × 1 2 × 2 × 2 Total
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Practice problemGrade 5 · Math
6. A student claims, “The overlapping cubes can be counted twice.” Use the overlap sketch to explain why this is not correct. A B overlap Explanation:
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Practice problemGrade 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. Total volume = 100 cm³
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Practice problemGrade 5 · Math
8. The same L-shape can be decomposed two ways. Which decomposition is more efficient? Show both equations. 5 3 1 2 2 Equation 1: Equation 2: More efficient:
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Practice problemGrade 5 · Math
1. Design three different rectangular boxes, each with a volume of 240 in3. Record the length, width, and height for each design. Design Length (in) Width (in) Height (in) A B C
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Practice problemGrade 5 · Math
2. Verify each design by calculating l × w × h. Design l × w × h (in³) Volume (in³) A B C
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Practice problemGrade 5 · Math
3. Draw an open box net for your best design. Label all dimensions.
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Practice problemGrade 5 · Math
4. Compare two box designs for fitting in a backpack. Find each volume and explain which fits better. Design 1: 10 × 6 × 4 in Volume = in3 Design 2: 12 × 5 × 4 in Volume = in3 Whic
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Practice problemGrade 5 · Math
5. A box is 8 × 5 × 6 in. How many 1-in3 cubes fit inside? 8 in 6 in 5 in Number of 1-in³ cubes =
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Practice problemGrade 5 · Math
6. Create a two-prism display stand with a total volume of 240 in3. Label both component prisms. 1 ? in ? in ? in 2 ? in ? in ? in Prism 1: l = in, w = in, h = in, V = in3 Prism 2:
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Practice problemGrade 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. Student’s statement: 240 in³ = 24 × 5 × 3 Corrected produc
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Practice problemGrade 5 · Math
8. Which box design is best for a backpack and why? Use dimensions and volume in your explanation.
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Practice problemGrade 5 · Math
Write x and y on the correct axes. Circle the origin. 0 1 2 3 4 5 0 1 2 3 4 5
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Practice problemGrade 5 · Math
Plot A(3,2), B(2,3), C(0,4), D(5,0). 0 1 2 3 4 5 0 1 2 3 4 5 x y
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Practice problemGrade 5 · Math
Write each ordered pair. 0 1 2 3 4 5 0 1 2 3 4 5 x y P Q R S T P( ) Q( ) R( ) S( ) T( )
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Practice problemGrade 5 · Math
Start at (0,0). Move right 4, then up 2. Draw the route. 0 1 2 3 4 5 0 1 2 3 4 5 x y End: ( )
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Practice problemGrade 5 · Math
Match each point to its move from the origin. (2, 5) Up 4 only (5, 2) Right 2, up 5 (0, 4) Right 5, up 2
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Practice problemGrade 5 · Math
Leo plots (3,2) by moving up 3 and right 2. Correct his route. 0 1 2 3 4 5 0 1 2 3 4 5 x y First: Then:
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Practice problemGrade 5 · Math
Complete the pairs. Explain the zero. 0 x y On x-axis: (4, ) On y-axis: ( , 3) The zero means:
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Practice problemGrade 5 · Math
Are (3,2) and (2,3) the same point? Plot and explain. 0 1 2 3 4 0 1 2 3 4 x y
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Practice problemGrade 5 · Math
Plot School S(1,1), Library L(1,4), Park P(5,4), Pool B(5,1). Each unit is 1 block. 0 1 2 3 4 5 6 0 1 2 3 4 5 x y
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Practice problemGrade 5 · Math
Use your map. Go from S to L, then L to P. S L P S to L: blocks L to P: blocks Total: blocks
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