Find missing dimensions using the volume formula

Find missing dimensions using the volume formula

In this lesson you will learn how to find missing dimensions by using the volume formula.

ADDITIONAL MATERIALS

Lesson slides https://docs.google.com/presentation/d/1YUJclzM8BbdcDDIEPfCeoBRThX2O_eBF/edit?usp=drivesdk&ouid=103344685123288532282&rtpof=true&sd=true

STANDARDS

CCSS.7.G.B.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

TEKS.5.4.H represent and solve problems related to perimeter and/or area and related to volume.

TEKS.7.9.D solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.

TEKS.7.9.C determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles; and

TEKS.7.9.A solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids;

TEKS.7.4.D solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems; and

TEKS.7.3.B apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.

TEKS.G.11.D apply the formulas for the volume of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure.

TEKS.G.11.C apply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure; and

TEKS.G.11.B determine the area of composite two-dimensional figures comprised of a combination of triangles, parallelograms, trapezoids, kites, regular polygons, or sectors of circles to solve problems using appropriate units of measure;

TEKS.G.11.A apply the formula for the area of regular polygons to solve problems using appropriate units of measure;

TEKS.G.10.B determine and describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area, or volume, including proportional and non-proportional dimensional change.

TEKS.G.9.B apply the relationships in special right triangles 30°-60°-90° and 45°-45°-90° and the Pythagorean theorem, including Pythagorean triples, to solve problems.

TEKS.6.8.D determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.

TEKS.6.8.C write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers; and

TEKS.8.7.B use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders;

IN.7.GM.6 Solve real-world and other mathematical problems involving volume of cylinders and three-dimensional objects composed of right rectangular prisms.

VA.MG.5.8.a solve practical problems that involve perimeter, area, and volume in standard units of measure; and

VA.TDF.G.14.c determining how changes in area and/or volume of a figure affect one or more dimensions of the figure; and

VA.TDF.G.14.b determining how changes in one or more dimensions of a figure affect area and/or volume of the figure;