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Math Drills
Volume and Surface Area of Rectangular Prisms
Your learners get solid practice calculating the surface area and volume of rectangular prisms with this instructional activity. There are ten versions of the activity for their enjoyment, and yours.
EngageNY
Volume of Right Prisms
Apply volume and area formulas to find the volume of any right prism. The 26th lesson of a 29-part module examines methods for finding the volume of right prisms with varying shapes of bases. Learners use the formula V = Bh to find...
Virginia Department of Education
Out of the Box
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
Mathed Up!
Volume of Prism
The area is essential to volume. As part of the review for the General Certificate of Secondary Education math assessment, a helpful video covers how to find the volume of several common 3-D figures. Pupils use the general volume formula...
Curated OER
Volumes of Rectangular Prisms
Students determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths. Finally, they factor the volume equation to determine the side lengths.
Virginia Department of Education
Volume of a Rectangular Prism
Fill the minds of your young mathematicians. A hands-on activity has learners fill in a rectangular prism with unit cubes to determine its volume. the exercise provides a great hands-on way for learners to connect the activity...
Curated OER
Two for One Box Company: Student Worksheet
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
Curated OER
Volume of Rectangular Prisms: Algebra/Geometry Institute Summer 2009
Students find the volume of rectangular prisms. In this volume lesson, students use a formula to find the volume of rectangular prisms. They discuss the definition of volume and draw rectangular prisms. Students...
EngageNY
The Volume of a Right Prism II
Discover the difference between the capacity of a container and its volume. The 25th part of a 28-part series presents problems that require pupils to determine the amount of liquid a prism can hold. Learners must take into account the...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Curated OER
Volume of Solids
For this volume of solids worksheet, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of...
EngageNY
Volume of Composite Three-Dimensional Objects
Most objects have irregular dimensions — you have to find them! Teach your class how to find the volume of composite objects that can be decomposed into prisms. Objects get increasingly more complex as the lesson progresses.
Virginia Department of Education
Surface Area and Volume of a Cylinder
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
Charleston School District
Volume of Rounded Objects
How much can different shapes hold? The answer varies depending on the shape and dimensions. Individuals learn the formulas for the volume of a sphere, cone, and cylinder. They apply the formulas to find the volume of these...
Charleston School District
Volume of Composite Shapes
It's the parts that make the whole. Learners apply volume formulas to composite figures to find the total volume of the figure. Previous lessons in this series taught the methods for finding the volume and/or dimensions of...
Virginia Department of Education
Surface Area of a Rectangular Prism
Wrap up a lesson on surface area with a resource that asks scholars to use the idea of wrapping paper to investigate surface area. They draw representations of rectangular prisms on graph paper to find the areas of the respective...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
Curated OER
Volume of Solid Figures
Learners calculate volume using the correct formula and the correct unit. They explore different prisms, spheres, cubes, and cones as they calculate volume and relate it to depths in oceans.
EngageNY
The Volume of a Right Prism
Does the volume formula work even if the measurements are not whole numbers? Class members work simple problems to find that the formula (area of the base) × (height) works for all prisms, independent of measurements and shape.
EngageNY
Volume of Composite Solids
Take finding volume of 3-D figures to the next level. In the 22nd lesson of the series, learners find the volume of composite solids. The lesson the asks them to deconstruct the composites into familiar figures and use volume formulas.
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 3
Pupils work on seven problems that use equations and expressions to solve geometry problems. The questions range from finding equivalent expressions to finding areas and volumes of figures. Learners apply their knowledge of angle...
Virginia Department of Education
Attributes of a Rectangular Prism
A change is coming. Pupils use unit cubes to investigate how changes in the length, width, and/or height affects volume and surface area. They extend the results to write and test predictions on the effect of changing multiple sides on...
Curated OER
Surface Area and Volume
Upper graders identify the surface area and attributes of figures that are measurable. They estimate, measure, and record perimeter, area, temperature change, and elapsed time, using a variety of strategies. They also determine the...