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

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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.

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.