Volume and Surface Area of Prisms With Fraction Edges
Written by Adi Ackerman, Head Teacher
"Volume and Surface Area of Prisms With Fraction Edges" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.G.A.2. If your student is a year younger but already steady on geometry, the page still works. You may just need to read the instructions out loud. And if they are older and volume & surface area of rectangular prisms never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: find the volume and surface area of 3 prisms with fraction edges like 2 1/2 in, 3 in and 1 1/2 in. Answer key included. Part of our volume & surface area of rectangular prisms geometry collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with the whole number page and have students list the three face pairs before adding. Move to the fraction and decimal pages next, and save the cylinder page for students ready for circle formulas.
What students will practice
- Students will find the volume of 3 rectangular prisms with mixed number edges such as 2 1/3 ft.
- Students will find surface area by adding the areas of six faces with fraction sides.
- Students will write answers such as 11 1/4 cubic inches as mixed numbers in simplest form.
Find the Area of Triangles From Base and Height
Area of Parallelograms and Trapezoids
Volume and Surface Area of Rectangular Prisms
Area and Circumference of Circles
Measure and Classify Angles With a Protractor
Classify Triangles by Their Side Lengths
Name Each Quadrilateral
Area and Perimeter of Rectilinear Shapes
Curriculum Links
Common Core State Standards
Geometry · 6th Grade
Standard: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h.
View all 6.G.A.2 worksheets →Find this in the curriculum
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FAQ
How do I use this volume & surface area of rectangular prisms worksheet?
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Start with the whole number page and have students list the three face pairs before adding. Move to the fraction and decimal pages next, and save the cylinder page for students ready for circle formulas.
What does this worksheet teach?
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Find the volume and surface area of 3 prisms with fraction edges like 2 1/2 in, 3 in and 1 1/2 in. Volume = length × width × height. Surface area is the total area of the six faces. The directions on the page read: Find the volume and the surface area of each rectangular prism. Use the work space. Write mixed numbers in simplest form. An answer key is included.
Can I use this volume & surface area of rectangular prisms worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade geometry, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with volume & surface area of rectangular prisms. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do you find the volume of a rectangular prism?
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Multiply the length, width and height: V = l × w × h. A prism with edges 2 1/2 in, 3 in and 1 1/2 in has a volume of 11 1/4 cubic inches.
How do you find the surface area of a rectangular prism?
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Find the area of each pair of matching faces and add them: SA = 2lw + 2lh + 2wh. A prism 6 in by 4 in by 10 in has a surface area of 48 + 120 + 80 = 248 square inches.
How do you find the volume of a cylinder?
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Multiply the area of the circle base by the height: V = π × r × r × h. With 3.14 for pi, a cylinder with a radius of 3 cm and a height of 8 cm has a volume of 226.08 cubic cm.
Is there an answer key?
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Yes. All 4 volume and surface area sheets have an answer key.
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Find the Area of Triangles From Base and Height
Area of Parallelograms and Trapezoids
Volume and Surface Area of Rectangular Prisms
Area and Circumference of Circles
Measure and Classify Angles With a Protractor
Classify Triangles by Their Side Lengths
Name Each Quadrilateral
Area and Perimeter of Rectilinear Shapes