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In this lesson, we will learn how to find the volume of a triangular prism to solve real-life problems with triangular prism-shaped solids.

Q1:

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

Q2:

Determine the volume of the given triangular prism.

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.

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.

Q6:

The given rectangle is the base of a triangular prism of height 3 𝑎 + 1 .

Q7:

Work out the volume of the triangular prism shown.

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:

Q10:

Work out the volume of the prism shown.

Q11:

Work out the volume of the trapezoidal prism shown.