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The cross-section of the prism below is a compound shape formed of two

rectangles.
Work out the volume of the prism.
Give your answer in cm³.

The cross-section of the prism below is a compound shape formed of two rectangles-example-1

2 Answers

3 votes

Final answer:

To calculate the volume of a prism with a compound cross-section, combine the areas of the two rectangular sections to find the total cross-sectional area and then multiply by the prism's height.

Step-by-step explanation:

The question is about calculating the volume of a prism with a composite cross-section made from two rectangles. To calculate the volume, we need to find the cross-sectional area by adding the areas of both rectangles and then multiplying by the height of the prism. Using the formula V = Ah, where A is the total cross-sectional area, and h is the height, we can determine the volume.

For example, if the first rectangle has dimensions a by b and the second rectangle has dimensions c by d, the total area A will be ab + cd. If the height of the prism is h, then the volume will be (ab + cd)h. Make sure to use the same units for all measurements to get the volume in cubic units.

User Milot
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8.2k points
2 votes

Answer:

V = 4(5)(7) + 6(5)(15) = 140 + 450 = 590 cm³

User Rumit Patel
by
8.1k points

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