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Will a cylinder with radius r and height h has the same volume as a rectangular prism with side r and height h?
No, a cylinder with radius ( r ) and height ( h ) will not have the same volume as a rectangular prism with side ( r ) and height ( h ). The volume of the cylinder is calculated using the formula ( V = \pi r^2 h ), while the volume of the rectangular prism is ( V = r^2 h ). Since ( \pi ) is approximately 3.14, the cylinder's volume will be greater than that of the rectangular prism.
How can the associative property can be used to mentally find the volume of a prism?
In general, the associative property cannot be used for this purpose. The volume of a prism is the area of cross section multiplied by the length, and except in the case of a rectangular prism, there is no scope for using the associative property.
How many ways can you make a rectangular prism using 48 blocks?
48
How many different rectangular prism can be made with 10 cm cubes?
To determine the number of different rectangular prisms that can be made with 10 cm cubes, we need to consider the dimensions of each prism. A rectangular prism has three dimensions: length, width, and height. Since each side of the prism can be made up of multiple cubes, we need to find all the possible combinations of dimensions that can be formed using 10 cm cubes. This involves considering factors such as the number of cubes available and the different ways they can be arranged to form unique rectangular prisms.
How do you get the volume of a cylinder using the circumference and height?
Base x Height.... The base of a cylinder is a circle. So you first find the area of the circle. pi times the radius squared. (for example, with a cylinder with a radius of 2in and a height of 3in, the area of the base would be about 2 x 2 x 3.14 = 12.56 Then you multiply the area of the base with the height. So going with our example, 12.56 x 3 = 37.68 inches. Think about it this way: The volume of a rectangular prism is length x width x height. The base of a rectangular prism is a rectangle , and to find the area of that is length x width. So it's the area of the base (which is length x width) x the height.
A rectangular prism measures 8m by 4m by 5mwhat is its volume?
The volume of a rectangular prism can be calculated using the formula: volume = length × width × height. For the given dimensions of 8m, 4m, and 5m, the volume is 8m × 4m × 5m = 160 cubic meters. Therefore, the volume of the rectangular prism is 160 m³.
How can you find the volume of a rectangular prism without using the volume formula?
To find the volume of a rectangular prism without using the volume formula, you can measure the length, width, and height of the prism using a ruler or measuring tape. Then, you can fill the prism with a known liquid (like water) and measure the amount needed to fill it completely, or you can stack unit cubes inside the prism to see how many fit. Both methods will give you the volume in cubic units based on the measurements or the volume of the liquid used.
When you compared the volume of the rectangular prism by using a ruler did you get the exact measurement of volume when using displacement?
It depends on how accurately you do the measurements in each case.
What is the volume of 10m by 8m by 3m rectangular prism?
240 m3 - without using a calculator !
Will a cylinder with radius r and height h has the same volume as a rectangular prism with side r and height h?
No, a cylinder with radius ( r ) and height ( h ) will not have the same volume as a rectangular prism with side ( r ) and height ( h ). The volume of the cylinder is calculated using the formula ( V = \pi r^2 h ), while the volume of the rectangular prism is ( V = r^2 h ). Since ( \pi ) is approximately 3.14, the cylinder's volume will be greater than that of the rectangular prism.
What is the volume of a rectangular prism if the surface area is 34?
To find the volume of a rectangular prism when given the surface area, we need more information than just the surface area. The surface area of a rectangular prism is calculated using the formula 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the prism, respectively. Without knowing at least one of these dimensions, we cannot determine the volume of the prism.
Why does it make sense to use multiplication when finding the volume of a rectangular prism?
Multiplication is used to find the volume of a rectangular prism because volume measures the amount of space inside the prism, which can be calculated by determining how many unit cubes fit within it. The volume formula for a rectangular prism is length × width × height, which combines the three dimensions of the prism. This multiplication accounts for the area of the base (length × width) and then extends it vertically by the height, effectively stacking layers of the base area to fill the prism. Thus, using multiplication provides a straightforward way to calculate the total volume.
How do you find the volume of a rectangular prism without using models?
Measure its length, width and height and multiply the three together.
How can the associative property can be used to mentally find the volume of a prism?
In general, the associative property cannot be used for this purpose. The volume of a prism is the area of cross section multiplied by the length, and except in the case of a rectangular prism, there is no scope for using the associative property.
What is the volume of a L shaped prism?
To find the volume of an L-shaped prism, you can divide it into two rectangular prisms. Calculate the volume of each rectangular prism using the formula ( V = \text{length} \times \text{width} \times \text{height} ) and then sum the volumes of both prisms. Ensure you have the correct dimensions for each section of the L-shape to obtain an accurate total volume.
What is the volume of a rectangular prism W L H?
The volume of a rectangular prism is calculated using the formula ( V = L \times W \times H ), where ( L ) is the length, ( W ) is the width, and ( H ) is the height. By multiplying these three dimensions together, you obtain the total space contained within the prism. Ensure that all measurements are in the same unit for accurate volume calculation.
How does the volume of a rectangular prism change when you double it's length?
When you double the length of a rectangular prism while keeping the width and height constant, the volume also doubles. The volume ( V ) of a rectangular prism is calculated using the formula ( V = \text{length} \times \text{width} \times \text{height} ). By increasing the length to twice its original value, the new volume becomes ( 2 \times \text{length} \times \text{width} \times \text{height} ), effectively resulting in a volume that is double the original.
