VOLUME OF  A TRAPEZOIDAL PRISM WORKSHEET

Find the volume of prism :

Question 1 :

Question 2 :

1. Answer :

Step 1 :

In the given prism, the two side walls are trapezoids. If we consider one of the trapezoid side walls as base, the height of the prism would be 22 cm.

So, the given prism is a trapezoidal prism.

Step 2 :

Volume of the given prism is

= base area x height

or

V = B x h

Step 3 :

Find base area.

Area of trapezoid with bases of lengths b₁ and b₂ and height h.

Base area (B) = (1/2) x (b₁ + b₂)h

= (1/2) x (12 + 8)10

= 100 sq.cm

Step 4 :

Find volume of the prism. 

V = B x h

= 100 x 22

= 2200 cubic cm

The volume of the given prism is 2200 cubic cm.

2. Answer :

Step 1 :

To find the number of cubic feet of space in  the tent, we have to find the volume of Cherise's tent.

Step 2 :

Volume of Cherise's tent (Trapezoidal prism) is

  = base area x height

or

V = B x h

Step 3 :

Find base area.

Area of trapezoid with bases of lengths b₁ and b₂ and height h.

Base area (B) = (1/2) x (b₁ + b₂)h

= (1/2) x (6 + 4)4

= 20 sq.ft

Step 4 :

Find volume of the prism.

V = B x h

= 20 x 9

= 180 cubic.ft

So, the number of cubic feet of space in  Cherise's tent is 180.

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