Volume of Rectangular and Triangular Prisms

The volume of a three-dimensional figure is a measure of the amount of space that it occupies. The box below is to be filled with 1-inch cubes. The number of cubes that fit in a box is the volume. 1) How many cubes will fit in a single layer at the bottom of this box? 8 cubes2) How many identical layers can be stacked in this box? 10 layers3) What is the total number of cubes that can be packed in this box? 80 total cubes Suppose the box above is put down on its side so its base is 4 inches by 10 inches and its height is 2 inches. 1) How many cubes will fit in the bottom layer of this box? 40 cubes2) How many identical layers can be stacked in this box? 2 layers3) What is the total number of cubes that can be packed in this box? 80 total cubes4) Does placing the box on its side affect the volume? no If the letter B stands for the area of the base and h stands for the height of the prism, what formula can be used to find the volume of a prism? V=Bh Use these formulas to help find the areas of the bases, B. 1) Find the volume of the rectangular prism. Only type numbers in the spaces. Area of the Base (B) bottom layer 6 Height (h) number of layers 4 Volume: V = Bh 24 2) Find the volume of the rectangular prism. Use the guided steps from above. Area of the Base: 40 square inchesHeight: 2 inchesVolume: 80 cubed inches 3) Find the volume of the rectangular prism. Area of the Base: 6.75 square inchesHeight: 10 inchesVolume: 67.5 cubed inches 4) Fill in the blanks to find the volume of the triangular prism. The shape of the base of the figure is a triangle. The formula for area of a triangle is 1 bh .The area of the base is 12 square inches.The height of the prism is 7 feet.The volume of the triangular prism is: 84 cubed inches. 5) Find the volume of the triangular prism. Be careful...it looks like the prism is on its side. The base is still a triangle since that's the name of the prism. Area of the base (B): 40.5 square feetHeight of the Prism (distance between the bases): 5 feetVolume: 202.5 cubed feet 6) Find the volume of the triangular prism. Area of the base: 35 square inchesHeight of the prism: 5 inchesVolume of the prism: 175 cubed inches Describe, in a few complete sentences, how to find the volume of any prism.