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Grade 12

Volume of Composite Solids

Interactive practice questions

Find the volume of the figure shown, correct to two decimal places.

A three-dimensional composite figure which is a combination of a rectangular prism and a half-cylinder. The length of the rectangular prism is labeled as $10$10 m. The base of the rectangular prism has congruent sides as indicated by the single tick mark on each side, with the bottom side labeled $4$4 m. The flat surface of the half cylinder coincides with the top face of the rectangular prism such that its height directly overlaps the rectangle's length. The diameter of the semicircular base of the cylinder is the top side of the base of the rectangular prism.
Easy
2min

Calculate the volume of the solid.

Round your answer to one decimal place.

Easy
2min

Find the volume of the figure shown.

Easy
2min

Find the volume of the composite solid shown.

Medium
1min
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Outcomes

12C.C.1.3

Solve problems involving the volumes and surface areas of rectangular prisms, triangular prisms, and cylinders, and of related composite figures, in situations arising from real-world applications

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