The trapezium’s parallel sides have 9 cm and 11.5 cm lengths, respectively, and its perpendicular height is 18 cm. The length of the prism is 22 cm. Find the volume of the trapezium prism.

The given values are

a = 9 cm and b = 11.5 and h = 18 cm and l = 22 cm

To find the volume of a triangular prism, you can use the formula:

\$"Volume" = "base area" times "height" \$ ( height = length)

So, the base area of the trapezoidal face is

\$"Area" = 1/2 ​ times ("sum of the lengths of the parallel sides") times "Height"\$

Now plug the values into the trapezoidal formula

\$ "Base area" = 1/2 times ( 9 + 11.5) times 18\$

Make it simpler

\$ "Base area" = 1/2 times 369\$

Make it simpler

Base area = 184.5

Now plug the values into the triangular prism formula

\$ "V" = 184.5 times 22\$

After simplification

V = 4059 cu.cm

Therefore, the volume of the trapezoidal prism is 4059 cu.cm.

Can you summarize what you’ve understood in the above steps?

This answer is incorrect because it appears to be a mistake in the calculation

\$4095 cm^3\$

This answer is incorrect because it appears to be a mistake in the calculation

\$4590 cm^3\$

This answer is right because the calculation was done correctly

\$4059 cm^3\$

This answer is incorrect because it appears to be a mistake in the calculation

\$4950 cm^3\$

Option

B

Can you summarize what you’ve understood in the above steps?