Question

Helpp^^ The cross section for the prism below is a trapezium.
Calculate its volume.

Answer 1

Given

Height of Prism(H) = 7 cm.

Parallel sides of trapezium = 5 cm & 9 cm.

Height of trapezium (h) = 3 cm.

To find

Volume of trapezium

Solution

Here distance b/w two trapeziums is 7 cm & distance b/w two parallel sides is 3 cm.

Parallel sides are 5 cm & 9 cm respectively.

We know that,

➥ Area of trapezium = ½ (a + b) × h

Putting values we get :

⟼ Area of trapezium = ½ (5 + 9) × 3

= ½ × 14 × 3

= 21 cm²

Now we know that,

➥ Volume of trapezium = Area × Distance b/w two trapeziums

Putting values we get :

➾ Volume of trapezium = 21 × 7

= 147 cm³

Therefore,

Required volume of trapezium = 147 cm³

Answer 2

Given:

• Base of trapezium, b1 = 9 cm

• Base of trapezium, b2 = 5 cm

• height of trapezium, h = 3 cm

• Length of trapezium, l = 7 cm

To be calculated:

Calculate the volume?

Formula used:

★ Area of trapezium = ½ × ( b1 + b2 ) × h

★ Volume of trapezium = Area × Length

Solution:

We know that,

Area of trapezium = ½ × ( b1 + b2 ) × h

= ½ × ( 9 + 5 ) × 3

= ½ × 14 × 3

= 7 × 3

= 21 cm²

Now,

Volume of trapezium = Area × Length

= 21 × 7

= 147 cm³

Hence, the volume of given trapezium is 147 cm³.