Mastering Volume: Composite Shapes & Real-World Problems

A rectangular prism has a length of 4 cm, a width of 3 cm, and a height of 5 cm. What is the volume of the prism?

• 20 cm³

• 12 cm³

• 60 cm³

• 45 cm³

A cylinder with a radius of 2 cm and a height of 6 cm is placed on top of a cube with a side length of 3 cm. What is the total volume of the composite shape?

• 18π + 18 cm³

• 30π + 15 cm³

• 12π + 36 cm³

• 24π + 27 cm³

A swimming pool is shaped like a rectangular prism measuring 10 m long, 4 m wide, and 2 m deep. How much water (in cubic meters) can the pool hold?

• 60 m³

• 100 m³

• 80 m³

• 40 m³

A toy box is made up of a rectangular base measuring 2 ft by 3 ft and has a height of 4 ft. What is the volume of the toy box?

• 20 cubic feet

• 30 cubic feet

• 16 cubic feet

• 24 cubic feet

A garden is designed in the shape of a rectangular prism with a length of 8 m, a width of 5 m, and a height of 1 m. How much soil is needed to fill the garden?

• 30 m³

• 50 m³

• 20 m³

• 40 m³

A fish tank is made up of a rectangular base measuring 1 m by 0.5 m and has a height of 0.75 m. What is the volume of the fish tank?

• 0.5 m³

• 1 m³

• 0.375 m³

• 0.25 m³

A composite shape is formed by a cube with a side length of 2 m and a cylinder with a radius of 1 m and a height of 3 m. What is the total volume of the composite shape?

• 8 + 3π m³

• 4 + π m³

• 10 m³

• 6 + 2π m³

A box is 6 inches long, 4 inches wide, and 3 inches high. If you want to fill it with sand, how many cubic inches of sand do you need?

• 36 cubic inches

• 48 cubic inches

• 72 cubic inches

• 60 cubic inches

A rectangular prism has a base area of 20 cm² and a height of 10 cm. What is the volume of the prism?

• 250 cm³

• 200 cm³

• 150 cm³

• 100 cm³

A storage container is shaped like a rectangular prism with dimensions 5 ft by 3 ft by 2 ft. How much space is inside the container?

• 25 cubic feet

• 30 cubic feet

• 15 cubic feet

• 20 cubic feet