Find The Volume Of A Right Rectangular Prism - Step-by-Step Lesson Lesson 1 Rectangular Prism Problem A swimming pool is 10m long, 8m wide and 4m deep. Allen wants to know the volume of the swimming pool because he wants to fill it with water. What is the volume of the swimming pool? Explanation Step 1) The volume V of a rectangular prism is the product of the length, width, and height. The formula for volume of a rectangle is V = Length x width x height Step 2) To find the volume of the swimming pool we perform this operation V = 10 x 8 x 4 = 320 Step 3) Properly naming the units. Since the units are meters x meter x meters, the unit (meters) will be cubed. V = 320 meters 3 Tons of Free Math Worksheets at www.mathworksheetsland.com
Find The Volume Of A Right Rectangular Prism - Guided Lesson Complete the following problems 1) Mona purchased a carpet in the shape of a rectangle. The carpet is 14 feet long by 8 feet wide. Mona wants to know the area of the rectangular carpet. What is the area? 2) A dog house has a triangular roof with a height of 12 m and base of 24m. Find the area of triangle. 3) Danny likes jewelry boxes. His new jewelry box has a length of 30 centimeters, a width of 60 centimeters, and a height of 80 centimeters. What is the volume of jewelry box? Tons of Free Math Worksheets at www.mathworksheetsland.com
Find The Volume Of A Right Rectangular Prism - Guided Lesson Explanation Explanation#1 The formula of Area of a Rectangular Solid is Area of a Rectangular Solid = Width x Height Area the rectangle carpet = 14 x 8 = 112 Since the units are feet times feet, the units are squared. Area the rectangle carpet = 112 Feet 2 Explanation#2 Step 1) The formula of the area of a triangle is Area of Triangle = ½ x Base x Height Step 2) The area of the triangle house = ½ x Base x Height Area of the triangle house = ½ x 12 x 24 (units are meters times meters) Area of the triangle house = 144 meters 2 Explanation#3 Step 1) The volume V of a rectangular prism is the product of the length, width, and height. The formula of volume of rectangle is V = Length x Width x Height Step 2) V = Length x width x height V = 30 x 60 x 80 = 144,000 Units are cubed because it is centimeters x centimeters x centimeters V = 144,000 centimeters 3 Tons of Free Math Worksheets at www.mathworksheetsland.com
Find The Volume Of A Right Rectangular Prism - Independent Practice Worksheet Complete all the problems. 1. Sandy bought a rectangular recycling bin for her office. The recycling bin has the length of 7 centimeters, a width of 10 centimeters, and a height of 12 centimeters. What is the volume of the recycling bin? 2. A right triangle has a base of 6 centimeters and the height is 9 centimeters. What is the area of this triangle? 3. A water cooler shaped like a rectangular prism has a length of 80 centimeters, a width of 40 centimeters, and a height of 100 centimeters. What volume of water is needed to fill the water cooler? 4. A rectangle measures 4 by 6 inches. If the lengths of each side double, what is the effect on the area? 5. Jordon purchased a box that he filled with liquid candle wax. The box is 5 meters wide, 6 meters long and 4 meters deep. He wants to know the volume of the rectangular box? 6. A rectangle prism s length is 7 inches and the width is twice the length. What is the area of rectangular prism? Tons of Free Math Worksheets at www.mathworksheetsland.com
7. Jackson has a big lawn. The lawn has a triangular shape with a base of 15 feet and a height of 20 feet. What is the area of the triangular shaped lawn? 8. Gonzalez is wrapping a gift box for his sister s birthday. The box s dimensions are 17 inches long by 12 inches wide by 6 inches high. What is the volume of the rectangular box? 9. A rectangular book has the dimensions of 9 yards by 18 yards. What is the area of the rectangular book? 10. Find the area of a rectangle with the length 40 meters and width 14 meters. Tons of Free Math Worksheets at www.mathworksheetsland.com
Find The Volume Of A Right Rectangular Prism - Matching Worksheet Write the letter of the answer that matches the problem. Note that unit of measure have been removed from the matching answers. 1. The length and width of a rectangle is 17 inches and 9 inches respectively. Find the rectangles area. 2. The length of a rectangle is 21 meters. The area of the rectangle is 189 square meters. Find the width. a. 379.5 b. 1040 3. The height of a triangle is 12 inches. The area of the triangle is 96 square inches. What is the base of the triangle? c. 9 4. What is the area of the triangle that has a height of 23 inches and a base of 33 inches? d. 153 5. Sanchez works at a t-shirt factory. They pack t- shirts in boxes and send them to stores. Sanchez has a box that measures 5 ft by 8 ft by 7 ft. What is the volume of box? e. 16 6. Morgan has an ipad box. The box s dimensions are 13 inches long by 8 inches wide by 10 inches high. What is the volume of the box? f. 75 7. Find the area of a right triangle with a base length of fifteen units, a height of ten units, and a hypotenuse of approximately eighteen units. g. 9 8. The box s dimensions are 10 inches long by 8 inches wide. The volume of the rectangular box is 720? What is the height of the box? h. 280 Tons of Free Math Worksheets at www.mathworksheetsland.com
Finding Area, Perimeter, Volume of a Rectangular Solid-Worksheet 1 Formula Review Perimeter of Rectangle = Sum of all sides Area of a Rectangular Solid = 2 (lh) + 2 (lw) + 2 (wh) Volume of Rectangle = Length x Width x Height Determine the surface area, perimeter, and volume of each shape. 1 2 3 5 cm 4 16 cm 5 6 cm 6 7 cm 7 32 cm 25 cm 8 5 cm Tons of Free Math Worksheets at www.mathworksheetsland.com
Finding Area, Perimeter, Volume of a Rectangular Solid-Worksheet 2 Formula Review Perimeter of Rectangle = Sum of all sides Area of a Rectangular Solid = 2 (lh) + 2 (lw) + 2 (wh) Volume of Rectangle = Length x Width x Height Determine the surface area, perimeter, and volume of each shape. 1 25 cm 22 cm 2 3 16 cm 26 cm 4 22 cm 5 6 cm 6 14 cm 8cm 7 35 cm 25 cm 8 13 cm 8 cm Tons of Free Math Worksheets at www.mathworksheetsland.com
Finding Area, Perimeter, Volume of a Rectangular Solid-Worksheet 3 Formula Review Perimeter of Rectangle = Sum of all sides Area of a Rectangular Solid = 2 (lh) + 2 (lw) + 2 (wh) Volume of Rectangle = Length x Width x Height Determine the surface area, perimeter, and volume of each shape. 1 19 cm Area 2 23 cm 11 cm 3 27 cm 16 cm Area 24 cm 4 5 23 cm 14 cm Area 6 9cm 7 30 cm 26 cm 21 cm Area 8 28 cm Tons of Free Math Worksheets at www.mathworksheetsland.com
Finding Area, Perimeter, Volume of a Rectangular Solid-Worksheet 4 Formula Review Perimeter of Rectangle = Sum of all sides Area of a Rectangular Solid = 2 (lh) + 2 (lw) + 2 (wh) Volume of Rectangle = Length x Width x Height Determine the surface area, perimeter, and volume of each shape. 1 21 cm 16 cm Area 2 26 cm 19 cm 13 cm 3 23 cm Area 28 cm 4 22 cm 14 cm 5 9 cm Area 6 19 cm 11 cm 7cm 27 cm 7 Area 21 cm 8 24 cm 13 cm Tons of Free Math Worksheets at www.mathworksheetsland.com
Finding Area, Perimeter, Volume of a Rectangular Solid-Worksheet 5 Formula Review Perimeter of Rectangle = Sum of all sides Area of a Rectangular Solid = 2 (lh) + 2 (lw) + 2 (wh) Volume of Rectangle = Length x Width x Height Determine the surface area, perimeter, and volume of each shape. 1 31 cm 26 cm Area 2 22 cm 13 cm 3 19 cm 14 cm 9 cm Area 4 11 cm 5 27 cm 13 cm Area 6 28 cm 22 cm 20cm 7 30 cm 27 cm 21 cm Area 8 26 cm 8 cm Tons of Free Math Worksheets at www.mathworksheetsland.com