The diagram shows a prism.The cross-section of this prism is an octagon with an area of 18 cm 2.If the length of the prism is 4 cm, what is the volume of the prism?6. The diagram shows a prism.The cross-section of this prism is a rhombus with an area of 14 m 2 .If the length of the prism is 7 m, what is the volume of the prism?caVolume of prisms
Question
The diagram shows a prism.The cross-section of this prism is an octagon with an area of 18 cm 2.If the length of the prism is 4 cm, what is the volume of the prism?6. The diagram shows a prism.The cross-section of this prism is a rhombus with an area of 14 m 2 .If the length of the prism is 7 m, what is the volume of the prism?caVolume of prisms
Solution
The volume of a prism is calculated by multiplying the area of the base (or cross-section) by the height (or length) of the prism.
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For the first prism, the cross-section is an octagon with an area of 18 cm^2 and the length is 4 cm. So, the volume is 18 cm^2 * 4 cm = 72 cm^3.
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For the second prism, the cross-section is a rhombus with an area of 14 m^2 and the length is 7 m. So, the volume is 14 m^2 * 7 m = 98 m^3.
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