1. Volume of cube with side length of 2.4 in? (units)
2. Volume of triangular prism is 20 cm^3. The base triangle has an area of 5cm^2. What is the height of the prism?
3. Fridge is 2 x 3 x 6 ft and is a rectangular prism. Will it fit in a space that is 35 cubic feet?
4. Find the volume of rectangular pyramid that has a base of 3 x 4in and a altitude of 6 in.
5. Rectangular prism and pyramid have congruent bases and heights. IF the volume of the prism is 420 in^3, what is the volume of the pyramid?
1. The volume of the cube with a side length of 2.4 in is 13.824 in^3.
2. The height of the triangular prism is 4 cm.
3. The volume of the fridge is 36 cubic feet, which is larger than the space of 35 cubic feet, so it will not fit.
4. The volume of the rectangular pyramid is 24 in^3.
5. The volume of the pyramid is 140 in^3.
explain ur answers
1. The volume of a cube can be calculated by cubing the side length. In this case, the volume would be 2.4^3 = 13.824 in^3.
2. The formula for the volume of a triangular prism is V = Area of base x Height. Since the area of the base is given as 5 cm^2 and the volume is 20 cm^3, we can solve for the height by rearranging the formula: Height = Volume/Area of base = 20 cm^3 / 5 cm^2 = 4 cm.
3. To determine if the fridge will fit in a space that is 35 cubic feet, we calculate the volume of the fridge, which is 2 x 3 x 6 = 36 cubic feet. Since the volume of the fridge is larger than the space available, it will not fit.
4. The volume of a rectangular pyramid is given by the formula V = (1/3) x Base Area x Height. Given a base of 3 x 4 in and an altitude of 6 in, the volume is calculated as (1/3) x 3 x 4 x 6 = 24 in^3.
5. The formula for the volume of a rectangular prism is V = Base Area x Height. If the volume of the prism is 420 in^3 and the prism is congruent to the pyramid, then the volume of the pyramid would be half of the prism's volume: 420 in^3 / 2 = 210 in^3.