Table of Contents
- 1 What is the dimensions of a rectangular prism with a volume?
- 2 What kind of rectangular prism has the least surface area?
- 3 What is the ratio of the volume of the larger rectangular prism to the volume of the smaller rectangular prism?
- 4 What is the surface area of the larger rectangular prism?
- 5 How do you find the smallest surface area of a rectangular prism?
- 6 How do you calculate the surface area of a prism?
- 7 What is the formula for surface area and volume?
What is the dimensions of a rectangular prism with a volume?
Volume of a rectangular prism = (length x width x height) cubic units. Let’s try the formula by working out a few example problems. The length, width, and height of a rectangular prism are 15 cm, 10 cm, and 5 cm, respectively.
What kind of rectangular prism has the least surface area?
the cube
In general, the cube is the rectangular prism with the least amount of surface area for its volume.
Which prism has the largest volume?
A cube has the maximum volume amongst rectangular prisms with the same surface area. So, a cube with a surface area of 20 square units has six sides that each have an area of 10/3 square units. The square root of 10/3 gives us the length of each side.
Which prism has the least volume prism?
cube
What is the ratio of the volume of the larger rectangular prism to the volume of the smaller rectangular prism?
271
Because the volume of a solid involves multiplication in three dimensions (length x width x height), the ratio for the volume of the similar solids is the ratio for the dimensions of the similar solids cubed. The ratio for the volume of the large rectangular prism to the small rectangular prism is 271 .
What is the surface area of the larger rectangular prism?
The area of each face of the rectangular prism above is calculated using the formula A=lw, where A = area, l = length, and w = width. The unit of measurement for area is square units, in this case inches2. Next you find the surface area by adding the area of each of the faces together.
What are the dimensions of a rectangular prism?
It has 3 dimensions which are length, width, and height. The opposite faces of a rectangular prism are congruent.
Which prism has the smallest surface area?
The cube, then, has the smallest surface area. In general, the cube is the rectangular prism with the least amount of surface area for its volume.
How do you find the smallest surface area of a rectangular prism?
For a square-based prism with a given volume, the minimum surface area occurs when the prism is a cube. Given a volume, you can find the dimensions of a square-based prism with minimum surface area by solving for s in the formula V = s3, where V is the given volume and s is the length of a side of the cube.
How do you calculate the surface area of a prism?
The surface area on the length of the prism is then calculated by taking the perimeter of the shape on the ‘cut’ face of the prism, and multiplying it by the length of the prism. By summing these two areas, you will obtain the total surface area.
What is the formula for the surface area of a prism?
The formula for the surface area of a triangular prism is SA = bh + (s1 + s2 + s3)H. In this formula, “b” is the triangle base, “h” is the triangle height, “s1,” “s2” and “s3” are the three triangle sides, and “H” is the length of the prism.
How do you calculate a rectangular prism?
To find the surface area of a rectangular prism, find its length, width and height. Multiply width times height, length times width, and length times height. Add the three products together, and multiply the sum by two.
What is the formula for surface area and volume?
The formula for the area of the surface of a sphere is S=4πr2, and for the volume it is V=4/3 πr3, where r is the radius of the sphere. Spherical geometry and spherical trigonometry are methods of determining magnitudes and figures on a spherical surface.