VOLUME of Rectangular Prisms - Mustang Public Schools

1 Math 6 NOTES Name _____ VOLUME of Rectangular Prisms VOLUME is the measure of _____ __ occupied by a solid region. **The formula for the VOLUME of a Rectangular prism is:** _____ l = length w = width h = height Study Tip: When measuring VOLUME , the units will be cubed. A cubic centimeter (cm3) is a cube whose edges all measure 1 centimeter. Examples: Find the VOLUME of each Rectangular prism . Round to the nearest tenth if necessary. 1. 2. 3. Find the VOLUME of a fish tank that is 8 feet long and 5 feet wide, if the height is feet? You try!! 1. 2. 3. 4. 5. A Rectangular prism measuring 10 m and 7 m along the base and 12 m tall. 6. A square prism measuring 6 km along each edge of the base and 5 km tall.

2 7. A cube measuring 9 in along each edge. Glencoe/McGraw-Hill674 Mathematics: Applications and Concepts, Course 2 Find the VOLUME of the Rectangular ,whVolume of a Rectangular prismV55?6?8 Replace ,with 5, wwith 6, and hwith VOLUME is 240 cubic the VOLUME of each Rectangular prism . Round to the nearesttenth if ft2 ft10 cm7 cm9 cm4 m3 m7 m6 _____ DATE _____ PERIOD _____Study Guide and InterventionVolume of Rectangular PrismsThe volumeof a solid is the measure of space occupied by it. It is measured in cubic units such as cubic centimeters (cm3) or cubic inches (in3). The VOLUME of the figure at the right can be shown using bottom layer, There are or base, has 4?3 }two 12 takes 12?2 or 24 cubes to fill the box. So, the VOLUME of the box is 24 cubic Rectangular prismis a solid figure that has two parallel and congruent sides, or bases, that are rectangles.

3 To find the VOLUME of a Rectangular prism , multiply the area of the base and the height, orfind the product of the length ,, the width w, and the height V5,wh4 m3 m Glencoe/McGraw-Hill675 Mathematics: Applications and Concepts, Course 2 Find the VOLUME of each Rectangular prism . Round to the nearesttenth if ` ft4 ft342 ft129 cm3 cm7 mm5 mm12 mm4 m4 m6 m6 cm3 cm3 cmPractice: SkillsVolume of Rectangular PrismsNAME _____ DATE _____ PERIOD _____Lesson 12 2 Math 6 NOTES Name _____ Notes: Surface Area of Rectangular Prisms & Cubes The sum of the areas of all the surfaces, or _____, contained in a three-dimensional figure (solid) is called the _____. - Rectangular Prisms are made up of 6 Rectangular faces. - We have to find the areas of all six faces.

4 - Then add them together to find the surface area of the solid. **The formula for the Surface Area of a Rectangular prism is:** l = length w = width h = height Examples: Find the surface area of each Rectangular prism . You Try!! Find the surface area of each Rectangular prism . 1) 2) 4) How would you find the surface area of a Pyramid? A square-based Pyramid is made up of five faces: four triangles and one square. Find the area of these shapes and add them together! Glencoe/McGraw-Hill684 Mathematics: Applications and Concepts, Course 2 Find the surface area of the Rectangular can use the net of the Rectangular prism to find its surface area. There are three pairs of congruent faces in a Rectangular prism :dtop and bottomdfront and backdtwo sidesFacesAreatop and bottom(4?

5 3) 1(4?3) 524front and back(4?2) 1(4?2) 516two sides(2?3) 1(2?3) 512 Sum of the areas24 116 112 552 Alternatively, replace ,with 4,w with 3, and h with 2 in the formula for surface ,w12,h12wh52?4?312?4?212?3?2 Follow order of 116 112 552So, the surface area of the Rectangular prism is 52 square the surface area of each Rectangular ft7 ft9 ft8 cm3 cm7 cm4 m4 m3 m2 m2 m3 m2 mbacksidebottomsidefronttop4 m3 m2 mNAME _____ DATE _____ PERIOD _____Study Guide and InterventionSurface Area of Rectangular PrismsThe sum of the areas of all the surfaces, or faces, of a three-dimensional figure is the surface surface area Sof a Rectangular prism with length ,,width w, and height his found using the following ,w12,h12wh Glencoe/McGraw-Hill685 Mathematics: Applications and Concepts, Course 2 Lesson 12 4 Find the surface area of each Rectangular prism .

6 Round to thenearest tenth if cube has a surface area of 126 square feet. What is the area of oneface? the surface area of a Rectangular prism that has a length of 8 inches, a width of 3 inches, and a height of 6 ft12 ft7 cm4 cm10 mm9 mm9 mm15 ft4 ft7 ft12 cm7 cm6 cmNAME _____ DATE _____ PERIOD _____Practice: SkillsSurface Area of Rectangular Prisms