Lesson Worksheet: Volumes of Composite Prisms Mathematics • 7th Grade

In this worksheet, we will practice finding volumes of composite prisms.

Q1:

Mason made a cardboard house at school. The lower part of the house is a rectangular prism and the upper part a triangular prism. Find the volume of the house.

Q2:

The solid shown is a rectangular prism with a triangular prism cut out along its length. Work out the volume of the solid.

• A210 unit3
• B84 unit3
• C126 unit3
• D168 unit3
• E198 unit3

Q3:

The solid shown is formed from two rectangular prisms. Work out the volume of the solid.

• A800 unit
• B1,200 unit
• C880 unit
• D720 unit
• E1,040 unit

Q4:

A prism has volume 218.12 cubic meters and a base with area 13.3 square meters. Write an equation that can be used to find the height , then find the height of this prism.

• A,
• B,
• C,
• D,
• E,

Q5:

Determine, to the nearest hundredth, the volume of the given solid.

Q6:

The solid shown is formed from two congruent triangular prisms placed together with a rectangular prism cut out along its length. Work out the volume of the solid.

Q7:

Work out the volume of the prism shown.

• A60 unit
• B48 unit
• C120 unit
• D180 unit
• E96 unit

Q8:

Work out the volume of the trapezoidal prism shown.

• A216 unit
• B48 unit
• C108 unit
• D96 unit
• E72 unit

Q9:

A sphere with a volume of cm3 is placed inside a cube. Given that it touches all six of the cube’s faces, find the volume of the cube.

Q10:

Find the edge length of the smallest cube in which a sphere of volume cm3 fits.