Unit 7B volume and prisms sample work
1. Find the volume of the prism shown below:
Base: Rectangle with length 5 cm and width 3 cm
Height: 8 cm
Volume = Base Area x Height
Volume = 5 cm x 3 cm x 8 cm
Volume = 120 cm³
Therefore, the volume of the prism is 120 cubic centimeters.
2. A triangular prism has a base with a height of 6 cm and a base with a width of 4 cm. The height of the prism is 10 cm. Find the volume of the prism.
Base Area = 1/2 x base height x base width
Base Area = 1/2 x 6 cm x 4 cm
Base Area = 12 cm²
Volume = Base Area x Height
Volume = 12 cm² x 10 cm
Volume = 120 cm³
Therefore, the volume of the triangular prism is 120 cubic centimeters.
3. A rectangular prism has a length of 7 cm, width of 4 cm, and height of 10 cm. Find the volume of the prism.
Volume = Length x Width x Height
Volume = 7 cm x 4 cm x 10 cm
Volume = 280 cm³
Therefore, the volume of the rectangular prism is 280 cubic centimeters.