Volume of cube with side length of 2.4 in? (units)
Volume of triangular prism is 20 cm^3. The base triangle has an area of 5cm^2. What is the height of the prism?
Fridge is 2 x 3 x 6 ft and is a rectangular prism. Will it fit in a space that is 35 cubic feet?
Find the volume of rectangular pyramid that has a base of 3 x 4in and a altitude of 6 in.
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. Volume of cube with side length of 2.4 in:
Volume = (side length)^3
Volume = (2.4 in)^3
Volume = 13.824 in^3
2. Height of triangular prism:
Volume = (base area) x (height)
20 cm^3 = 5 cm^2 x (height)
height = 20 cm^3 / 5 cm^2
height = 4 cm
3. Checking if the fridge will fit in a 35 cubic feet space:
Volume of fridge = 2 x 3 x 6 ft = 36 ft^3
Since the volume of the fridge is greater than the space available, it will not fit.
4. Volume of rectangular pyramid:
Volume = (1/3) x (base area) x (height)
Volume = (1/3) x (3 x 4in) x 6in
Volume = 24 in^3
5. Volume of pyramid given that the volume of the prism is 420 in^3:
Since the prism and pyramid have congruent bases and heights, the volume of the pyramid is 1/3 of the volume of the prism.
Volume of pyramid = 420 in^3 x 1/3
Volume of pyramid = 140 in^3