Worksheet: Volumes of Triangular Prisms

In this worksheet, we will practice finding volumes of triangular prisms and solving problems including real-life situations.

Q1:

Determine the volume of the given triangular prism.

Q2:

The shape in the figure is to be submerged in water. How much water, in cubic centimeters, would be displaced by the prism?

Q3:

Work out the volume of the triangular prism shown.

  • A54 units3
  • B18 units3
  • C60 units3
  • D27 units3
  • E108 units3

Q4:

Work out the volume of the triangular prism shown.

  • A210 units3
  • B130 units3
  • C140 units3
  • D840 units3
  • E420 units3

Q5:

A triangular prism of volume 132 yd3 has height 11 yd. If the triangular section has altitude 6 yd, what is this triangle’s base?

Q6:

The triangular section of a triangular prism has base length of 9 ft and altitude 6 ft. If the prism has height 5 ft, what is its volume?

Q7:

Given that the triangular prisms shown are similar and that the volume of the bigger prism is 2,112 in3, determine the volume of the smaller prism.

Q8:

Find, to the nearest tenth, the volume of the solid formed by the given net.

Q9:

Determine the volume of the given triangular prism.

Q10:

Which of the following shapes has the largest volume?

  • AShape C
  • BShape D
  • CShape B
  • DShape A

Q11:

Work out the volume of the right triangular prism shown.

Q12:

The bigger triangular prism has a volume of 6,400 cubic meters. The dimensions of the smaller prism are one-fourth of the dimensions of the bigger prism. What is the volume of the smaller prism?

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