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VOLUME. So far, we have learned about length. This is a measure of 1 dimension. Measuring length can be as simple as measuring a straight line segment. 5 inches. When you measure perimeter, you are also measuring length. 5 ft. 5 + 4 + 3 = 12 ft. 4 ft. 3 ft.
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So far, we have learned about length. This is a measure of 1 dimension.
Measuring length can be as simple as measuring a straight line segment. 5 inches
When you measure perimeter, you are also measuring length. 5 ft 5 + 4 + 3 = 12 ft 4 ft 3 ft
When you measure circumference, you are also measuring length. 4 x 3.14 = 12.56cm 4 cm
You can find the area of any FLAT shape. 5 cm 11 cm 5 x 11 = 55 square cm
You can even find the area of a circle. 5 x 5 x 3.14 = 78.5 sq. cm 5 cm
Volume is a measure of 3 dimensions: LENGTH, WIDTH, & HEIGHT
Imagine starting with a piece of rectangular paper. 4 in 3 in
Now, suppose that we “stacked” another piece of paper on top of this piece of paper. 4 in 3 in
4 in 3 in
4 in 3 in
4 in 3 in
4 in 3 in
Now we have 2 pieces of paper, each with an area of 12. So the volume is 24. 4 in 3 in
4 in 3 in
4 in 3 in
4 in 3 in
4 in 3 in
4 in 3 in
Now we have 3 pieces of paper, each with an area of 12. So the volume is 36. 4 in 3 in
If we had 100 pieces of paper stacked on top of one another, what would the volume be? 100 4 in 3 in
4 x 3 x 100 = 1200 100 4 in 3 in
Now that we are working with all 3 dimensions, the units are cubes.
This is 1 cubic inch.1 x 1 x 1 1 in 1 in 1 in
This is 2 cubic inches.2 x 1 x 1 1 in 1 in 2 in
This is 4 cubic inches.2 x 1 x 2 2 in 1 in 2 in
8 cubic inches 2 x 2 x 2 2 in 2 in 2 in
Calculate the volume of this prism. 6 cm 8 cm 5 cm
The volume is 240 cubic cm.6 x 5 x 8 6 cm 8 cm 5 cm
Calculate the volume of this prism. 5 cm 12 cm 3 cm
The volume is 180 cubic cm.5 x 3 x 12 5 cm 12 cm 3 cm
Calculate the volume of this prism. 7 cm 11 cm 4 cm
The volume is 308 cubic cm.7 x 4 x 11 7 cm 11 cm 4 cm
Suppose that this rectangle served as the base of a rectangular prism.
If the area (length x width) of the base is 12, and the height is 2… 2
Therefore, if you know the area of the base and the height of the prism, then you can calculate the volume.
SUMMARYVolume = Length x Width x HeightorVolume = Area of Base x Height
1) Find the volume of the prism. 3 cm 8 cm 3 cm