16.3 Volume of Objects Made From
Rectangular Prisms
Common Core Standards
7.G3 Describe two-dimensional figures that result from slicing
three-dimensional figures, as in plane sections of right
rectangular prisms and right rectangular pyramids
7.G.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.
WARM-UP
1) Find the volume of the cube.
7 in
2) Draw a rectangular prism that is not a cube and label
its length, width, and height
Volume of Objects Made From
Rectangular Prisms
How do we find out how much would fit
inside?
NOTES
The volume of a rectangular prism can be found by
multiplying the three dimensions (3-D).
V = lengthgwidthgheight
Examples
Find the volume of paper that could fill the prism.
8 in
10 in
6 in
EXAMPLES
Find the volume of presents that could fit inside.
8 in
10 in
9.6 in
EXAMPLES
Find the volume of the
rectangular prism.
1 in
10 in
6 in
Find the volume of the
entire prism.
1 in
1 in
1 in
1 in
10 in
6 in
EXAMPLES
Find the volume of the entire object.
2 in
5 in
8 in
12 in
2 in
10 in
EXAMPLES
Find the volume of the entire solid object.
7 cm
16 cm
7 cm
7 cm
7 cm
EXAMPLES
Find the volume of the large rectangular prism not
occupied by the cube.
6 in
3 in
10 in
4 in
EXAMPLES
Find the volume of paper that would fill half of the
rectangular prism.
6 in
10 in
4 in
Find the volume of paper that would fill a fourth of the
rectangular prism above.
PRACTICE
Find the volume of paper that can fit inside.
2 ft
2 ½ ft
2 ½ ft
PRACTICE
Find the volume of the entire object.
16'
7'
5'
PRACTICE
Find the volume of the entire object.
10 in
10 in
12 in
24 in
20 in
20 in
PRACTICE
Find the volume of one third of the rectangular prism.
10in
3in
3in
FINAL QUESTION
Find the volume of the large rectangular prism not
occupied by the smaller prism..
10in
3in
2 in
3in