Consider the right rectangular prism shown.
The figure shows a right rectangular prism whose dimensions are 8.5 centimeters, 2.25 centimeters, and 5.75 centimeters
List the numbers of faces, edges, and vertices of the rectangular prism.
The diagram represents a barbecue. What is the volume of the barbecue?
The figure shows a barbecue in the shape of a rectangular prism of length 6 feet, width 4 feet and height 5 feet. A smaller rectangular prism has been cut out from this of height 1.5 feet from the top. It leaves 1.25 feet portion from both ends along the length and leaves 1 feet portion from one end along the width.
what is the answer?
A.120 cubic feet
B.104.25 cubic feet
C.20.25 cubic feet
D.84 cubic feet
whitch one????
To find the numbers of faces, edges, and vertices of a rectangular prism, we need to understand its structure.
A rectangular prism has 6 faces, 12 edges, and 8 vertices.
- Faces: A rectangular prism has 6 surfaces, and each surface is called a face. In this case, the prism has 6 faces.
- Edges: The edges of a rectangular prism are the lines where the faces intersect. Each face has 4 edges, and since there are 6 faces, the prism has a total of 4 x 6 = 24 edges. However, each edge is shared by two faces, so to count the distinct edges, we divide the total by 2. Therefore, the prism has 24 / 2 = 12 edges.
- Vertices: The vertices of a rectangular prism are the points where the edges meet. Each corner of the prism is a vertex. Since a rectangular prism has 8 corners, it has 8 vertices.
Now, let's calculate the volume of the barbecue.
To find the volume of a rectangular prism, we multiply its length, width, and height.
Given dimensions:
- Length = 6 feet
- Width = 4 feet
- Height = 5 feet
Since a smaller rectangular prism has been cut out from this shape, we need to consider the remaining volume.
- Height of the remaining portion = 5 feet - 1.5 feet = 3.5 feet
- Length of the remaining portion = 6 feet - 2 * 1.25 feet = 3.5 feet
- Width of the remaining portion = 4 feet - 1 foot = 3 feet
Therefore, the volume of the remaining portion is:
Volume = Length x Width x Height
= 3.5 feet x 3 feet x 3.5 feet
= 36.75 cubic feet
So, the volume of the barbecue is 36.75 cubic feet.
it's just a brick
3 pairs of parallel faces, right?
Geez - just pick up any block and look at it!
oh, well, then, cheating is fine, I guess...
You still don't know how to do the math.
Great. Now Brooklyn will pass this test due to your cheating,
but she still won't know how to do the work.
Nice going, cheater.