Using a Formula to Find Volume 5.MD.C.5

To find the volume of a rectangular prism, we can use this formula: Volume = length x width x height. Volume = length x width x height Using a Formula to Find Volume

× 2 × 5 =50 We can find the volume of a rectangular prism by multiplying its length by its width by its height.How many cubes can we count across the front of the prism?5 — the length of this prism is 5.How many cubes are along this edge?2 — the width of the prism is 2.How many cubes high is the prism?5 — the height of the prism is 5.To find the number of unit cubes, we can multiply the length by the width by the height.What is 5 x 2 x 5?50 50 cubic units So, the volume of this prism is 50 cubic units. Using a Formula to Find Volume

× 2 × 4 =32 This prism has a length of 4 …… a width of 2 …… and a height of 4.We can find the volume by multiplying the length by the width by the height.What is 4 x 2 x 4 equal to?32So, this prism has a volume of 32 cubic units. 32 cubic units Using a Formula to Find Volume

× 3 × 6 =54 This prism has a length of 3 …… a width of 3 …… and a height of 6.We can find the volume by multiplying the length by the width by the height.What is 3 x 3 x 6 equal to?So, this prism has a volume of 54 cubic units. 54 cubic units 54 Using a Formula to Find Volume

3 cm 2 cm 4 cm 3 × 2 × 4 =24 24 cubic centimeters Here is a rectangular prism. We won’t see unit cubes, but we know its length, width, and height.The length is 3 cm …… the width is 2 cm...… and the height is 4 cm.What is 3 x 2 x 4?24So, the volume of this prism is 24 cubic centimeters. Using a Formula to Find Volume

8 m 2 m 5 m 8 × 2 × 5 =80 80 cubic meters Here is a rectangular prism. We will use its length, width, and height to determine its volume.The length is 8 meters …… the width is 2 meters...… and the height is 5 meters.What is 8 x 2 x 5?80So, the volume of this prism is 80 cubic meters. Using a Formula to Find Volume

3 ft 8 ft 3 × 3 × 8 =72 72 cubic feet Here is a rectangular prism. We will use its length, width, and height to determine its volume.The length is 3 feet …… the width is 3 feet...… and the height is 8 feet.What is 3 x 3 x 8?72So, the volume of this prism is 72 cubic feet. Using a Formula to Find Volume

5 in. 2 in. 12 in. 5 × 2 × 12 = cubic inches Here is a rectangular prism. We will use its length, width, and height to determine its volume.The length is 5 inches …… the width is 2 inches...… and the height is 12 inches.What is 5 x 2 x 12?120So, the volume of this prism is 120 cubic inches. Using a Formula to Find Volume

6 m 3 m 4 m 6 × 3 × 4 =72 72 cubic meters Here is a rectangular prism. We will use its length, width, and height to determine its volume.The length is 6 meters …… the width is 3 meters...… and the height is 4 meters.What is 6 x 3 x 4?72So, the volume of this prism is 72 cubic meters. Using a Formula to Find Volume

4 ft 8 ft 2 ft Here is another rectangular prism. We see measurements of its length, width, and height.To find the volume, we multiply the length …… by the width …… by the height. 4 × 8 × 2 =64 What is 4 x 8 x 2?64So, the volume of this prism is 64 cubic feet. 64 cubic feet Using a Formula to Find Volume

7 km 3 km Let’s find the volume of this prism.To find the volume, we multiply the length …… by the width …… by the height. 7 × 3 × 3 =63 What is 7 x 3 x 3?63So, the volume of this prism is 63 cubic kilometers. 63 cubic kilometers Using a Formula to Find Volume

2 m This is a cube. That means that the length, the width, and the height are all the same. 2 × 2 × 2 =8 What is 2 x 2 x 2?8So, the volume of this prism is 8 cubic meters. 8 cubic meters So, if the length is 2 meters, the width must be 2 meters …… and the height must be 2 meters. Using a Formula to Find Volume

Lightning Round Using a Formula to Find Volume

8 m 2 m 5 m What is the volume of the prism? 80 cubic meters Using a Formula to Find Volume

4 in. 11 in. 2 in. 88 cubic inches What is the volume of the prism? Using a Formula to Find Volume

3 m 27 cubic meters What is the volume of the cube? Using a Formula to Find Volume

Closing Question Using a Formula to Find Volume

5 cm 10 cm 250 cubic cm What is the volume of the prism? Using a Formula to Find Volume