**Volume of a trapezoidal prism worksheet :**

Worksheet on volume of a trapezoidal prism is much useful to the students who would like to practice volume problems on prisms and pyramids.

1. Find volume of the prism shown below.

2. Cherise is setting up her tent. Her tent is in the shape of a trapezoidal prism shown below. How many cubic feet of space are in her tent ?

**Problem 1 : **

Find volume of the prism shown below.

**Solution : **

**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

Base area (b) = (1/2) x (12 + 8)10

Base area = 100 sq.cm

**Step 4 :**

Find volume of the prism.

V = b x h

V = 100 x 22

V = 2200 cubic cm

The volume of the given prism is 2200 cubic cm.

**Problem 2 : **

Cherise is setting up her tent. Her tent is in the shape of a trapezoidal prism shown below. How many cubic feet of space are in her tent ?

**Solution : **

**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

Base area (b) = (1/2) x (6 + 4)4

Base area = 20 sq.ft

**Step 4 :**

Find volume of the prism.

V = b x h

V = 20 x 9

V = 180 cubic.ft

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

After having gone through the stuff given above, we hope that the students would have understood, how to find volume of trapezoidal prism

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