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How do you find the volume of a figure made of cubes and prisms?
The volume V of a prism is the area of its base Btimes its height h.
What is the relationship between the height and base area?
There is no relationship, in the sense that you can have any base are with any height. For a prism shape (if the horizontal cross section is always the same as the base), the base area times the height is equal to the volume.
How do you calculate the base area if the volume and the height are given?
The answer will depend on the shape that you are considering.
What is a 3d shape called with a hexagon for a base?
They're referred to as hexagonal prisms. or a hexagonal pyramid.
What is the area of a parallelogram with base and height?
base*height
How are the volumes of the prisms related?
The volumes of prisms are calculated using the formula ( V = B \times h ), where ( V ) is the volume, ( B ) is the area of the base, and ( h ) is the height of the prism. This means that the volume is directly proportional to both the area of the base and the height. Different prisms with the same base area and height will have equal volumes, while variations in either dimension will result in different volumes. Thus, the relationship between the volumes of prisms depends on their base area and height.
What is the formula for finding the volume of a triangular based prism?
Volume = Area of the base X height of prism. This formula works for all prisms, not just triangular prisms. Area of a triangle = height of triangle X 1/2 X base of triangle.
Find base if height and area are given?
Of a square? (area/height=base) Of a triangle? ({area/height}/2=base) Or of some other shape?
How do you work the height out with the area and the base is given?
If the shape in question is a triangle, then Area = 0.5 * Base * Height So Height = 2 * Area / Base
Which has more surface area a rectangular prisms or rectangular pyramid?
For the same base dimensions (base area) and the same height, the rectangular prism has more surface area.
How many different prisms can you make with volume 24 cm2?
To determine how many different prisms can be made with a volume of 24 cm³, we need to consider the base area and height of the prism. The volume ( V ) of a prism is given by the formula ( V = \text{Base Area} \times \text{Height} ). Since the volume is fixed at 24 cm³, various combinations of base areas and heights can yield different prism shapes, depending on the base shape (triangular, rectangular, etc.). The specific number of different prisms depends on the choices of base shape and dimensions, making it difficult to provide an exact count without additional constraints.
Do all rectangle prisms with the same height and base area have the same shape?
No, because even though the height is the same, the values of the sides of the base can still be different example: the area of the base of a rectangular prism is 12 if that is true, then the side lengths can be 12 and 1, 6 and 2, 3 and 4, and multiple other variations
What had two congruent bases?
A shape with two congruent bases is a prism. In a prism, the two bases are parallel and identical in shape and size, while the sides, or lateral faces, connect these bases. Common examples of prisms include rectangular prisms and triangular prisms. These congruent bases allow for the calculation of the prism's volume using the area of the base multiplied by the height.
Can prisms with differently shaped bases have the same volume?
Yes, prisms with differently shaped bases can have the same volume if their height and the area of their bases are such that the product of the base area and height is equal for both prisms. Volume is calculated using the formula ( V = \text{Base Area} \times \text{Height} ), so as long as the product remains constant, various base shapes can yield the same volume. For example, a triangular prism and a rectangular prism can have the same volume if their respective base areas and heights are appropriately adjusted.
What is the shape of a pentagonal prisms base?
a pentagon
Two rectangular prisms that have the same volume and the same height would their base be different or the same?
They would have to have the same base area, if that's what you mean.
How do you find the volume of a figure made of cubes and prisms?
The volume V of a prism is the area of its base Btimes its height h.
