13. Solids

13.01 Cross sections of solids

Solids of revolution

13.02 Volume of prisms and cylinders

Investigation: Cavalieri's principle and the volume of a cylinder

Investigation: Explore the volume of pyramids and cones

13.03 Volume of pyramids and cones

13.04 Volume of spheres and hemispheres

13.05 Volume of composite solids

United States of America UT

Math II

13.05 Volume of composite solids

Interactive practice questions

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

A composite solid is composed 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 as $4$4 m. The flat surface of the half-cylinder coincides with the top face of the rectangular prism, such that its height overlaps the length of the rectangular prism. The diameter of the semicircular base of the cylinder is aligned with the top side of the rectangular prism's base.

Easy

2 min

Calculate the volume of the solid.

Round your answer to one decimal place.

Easy

2 min

Find the volume of the figure shown.

Easy

2 min

Find the volume of the composite solid shown.

Easy

1 min

Outcomes

II.G.GMD.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

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