# Worksheet: Volume of a Triangular Prism

In this worksheet, we will practice finding the volume of a triangular prism to solve real-life problems with triangular prism-shaped solids.

**Q3: **

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

**Q4: **

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.

**Q5: **

Consider the shown rectangle.

Write an expanded expression for its area.

- A
- B
- C
- D
- E

The rectangle above is the shaded face of the shown triangular prism.

Write an expanded expression for the volume of the prism. Simplify the expression, if possible.

- A
- B
- C
- D
- E

**Q6: **

Consider the shown rectangle.

Write an expanded expression for its area.

- A
- B
- C
- D
- E

The given rectangle is the base of a triangular prism of height .

Write an expanded expression for the volume of the prism. Simplify the expression, if possible.

- A
- B
- C
- D
- E

**Q7: **

Work out the volume of the triangular prism shown.

- A60 units
^{2} - B54 units
^{2} - C108 units
^{2} - D27 units
^{2} - E18 units
^{2}

**Q8: **

Answer the following questions for the prism shown.

Work out the volume of the prism.

Work out the surface area of the prism.

**Q9: **

Work out the volume of the triangular prism shown.

- A140 units
^{3} - B420 units
^{3} - C130 units
^{3} - D210 units
^{3} - E840 units
^{3}

**Q10: **

Work out the volume of the prism shown.

- A96 unit
- B180 unit
- C60 unit
- D48 unit
- E120 unit

**Q11: **

Work out the volume of the trapezoidal prism shown.