Composite Solids

Front

What is a composite solid?

Back

A composite solid is a three-dimensional shape that is made up of two or more simpler shapes, such as prisms, cylinders, cones, or spheres.

Front

How do you find the volume of a composite solid?

Back

To find the volume of a composite solid, calculate the volume of each individual solid and then sum them up.

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × radius² × height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × radius³.

Front

If the radius of a cylinder is 3 cm and the height is 5 cm, what is its volume?

Back

Volume = π × (3 cm)² × 5 cm = 45π cm³ ≈ 141.37 cm³.

Front

If two identical rectangular prisms each have a volume of 200 cm³, what is the volume of the composite figure?

Back

Volume = 200 cm³ + 200 cm³ = 400 cm³.

Front

What is the value of π used in volume calculations?

Back

π is approximately 3.14.

Front

How do you calculate the total volume of a composite solid made of a cylinder and a cone?

Back

Calculate the volume of the cylinder and the cone separately, then add them together.