Worksheet
Math Drills

Volume and Surface Area of Rectangular Prisms

For Students 7th - 10th Standards
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.
Lesson Plan
EngageNY

Volume of Right Prisms

For Students 7th Standards
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...
Lesson Plan
EngageNY

Surface Area

For Teachers 7th Standards
Build upon the knowledge of nets to find the surface area of right prisms. Pupils begin to find the area of right rectangular prisms using the net for the prism. They build upon that knowledge to find a general formula that works for all...
Performance
Radford University

Surface Area of Boxes

For Teachers 9th - 12th Standards
Explore surface area out of the box. Pairs investigate surface area by measuring two boxes and calculating the area of each side. Classmates trace one of the boxes onto butcher paper and create a net with the same area. Groups then...
Unit Plan
1
1
Virginia Department of Education

Exploring 3-D Geometry

For Teachers 6th - 8th Standards
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...
Lesson Plan
Virginia Department of Education

Attributes of a Rectangular Prism

For Teachers 7th
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...
Lesson Plan
EngageNY

Volume and Surface Area II

For Teachers 7th Standards
Determine the cost of projects based on volume or surface area. Pupils work problems to determine the cost of building a brick planter and a stainless steel feeder in the 27th installment of a 28-part series. Participants must consider...
Lesson Plan
EngageNY

The Volume of a Right Prism

For Teachers 7th Standards
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.
Lesson Plan
EngageNY

Surface Area II

For Teachers 7th Standards
The class makes the connection between finding the area of a right prism and a right pyramid in the 23rd installment in a series of 28. The pupils find the surface area of figures created by stacked cubes and prisms with cutouts.
Lesson Plan
EngageNY

Surface Area

For Students 7th Standards
Explore finding the surface area of composite figures. Building on the previous lessons in the 29-part series, the 24th installment examines the surface area of three-dimensional solids. The focus is on decomposing composite figures and...
Lesson Plan
EngageNY

Surface Area II

For Students 7th Standards
Examine the surface area of composite figures using an exploratory approach. As a continuation of the previous lesson plan of the 29-part series, young scholars develop plans for finding the surface area of composite figures. Examples...
Lesson Plan
EngageNY

The Volume of Prisms and Cylinders and Cavalieri’s Principle

For Teachers 9th - 10th Standards
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...
Lesson Plan
EngageNY

Volume and Surface Area

For Teachers 7th Standards
The 26th part of a 28-part series requires pupils to determine whether the answer to a problem requires surface area or volume. The class works problems about fish tanks that prompt individuals to decide, based on the question, which...
Lesson Plan
Virginia Department of Education

Surface Area and Volume

For Teachers 9th - 11th Standards
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
Unit Plan
Radford University

Surface Area and Volume

For Teachers 9th - 12th Standards
Who knew there were pyramids in China? Learners apply surface area and volume formulas to several different real-world situations. They calculate the volume and surface area of an aquarium, an ice cream cone, and Egyptian and Chinese...
Lesson Plan
1
1
Digital Lesson

Cereal Box Surface Area

For Teachers 5th - 8th Standards
How much math can your learners pour out of a cereal box? Your middle schoolers will explore their favorite cereal and calculate the surface area, volume, and weight ratios and log this information on the provided worksheet. They get to...
Activity
101 Questions

File Cabinet

For Teachers 6th - 8th Standards
Take the resource out of the file cabinet. Young mathematicians estimate the number of sticky notes it would take to cover the surface area of a file cabinet. They answer a set of questions on how the number of sticky notes would change...
Performance
Radford University

Building Sandcastles

For Teachers 9th - 12th Standards
Finalize the plans before playing in the sand. Learners design sandcastles using geometric and composite figures. They create blueprints, including the scale, and three-dimensional models of their castles. Finally, scholars calculate the...
Lesson Plan
Virginia Department of Education

Similar Solids and Proportional Reasoning

For Teachers 9th - 11th
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Unit Plan
Radford University

Down on Sue's Farm

For Students 9th - 12th Standards
When would a farmer use math? Class members work through five tasks on a farm that require knowledge of surface area, volume, and determining regression equations. The challenges range from figuring out the amount of paint to buy,...
Performance
Radford University

How Do I Design a Raised Bed Garden to Accommodate My Plants?

For Teachers 7th - 12th Standards
Give plants the best place to grow. Given constraints on plant spacing, pupils design a raised bed garden using graph paper, then calculate the perimeter, surface area, and volume. They use the provided costs of lumber and soil to...
Unit Plan
PBS

Accessible Shapes

For Teachers 6th - 8th Standards
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
Activity
Teach Engineering

Build the Biggest Box

For Students 8th - 10th Standards
Boxing takes on a whole new meaning! The second installment of the three-part series has groups create lidless boxes from construction paper that can hold the most rice. After testing out their constructions, they build a new box....
Unit Plan
Radford University

Fun with Solids

For Teachers 9th - 12th Standards
Cakes offer a yummy way to learn about math. Scholars use manipulatives to discover the formulas for the surface area and volume of prisms and cylinders. They use their formulas to calculate the amount of cake mix and frosting necessary...