Question

Find the volume of a right prism with height h=10 cm, if the base is a trapezoid with height htr = 3 cm and bases of 2 cm and 5cm

Answer 1

Area of the base = 1/2 x 3 x ( 2 + 5 ) = 10.5 cm²

Volume =10.5 x 10 = 105 cm³


Answer: 105 cm³

Answer 2

We have been given that the base of the prism is a trapezoid. Hence, first of all we find the area of the trapezoid.

Trapezoid has height 3 cm and bases of 2 cm and 5 cm.

Hence, the area of the trapezoid is given by

`A=(a+b)/(2) * h\\ \\ A=(2+5)/(2) * 3\\ \\ A=(21)/(2)`

Therefore, the volume of the right prism with height h=10 cm is given by

`V=\text{Base area }* { height}\\ \\ V=(21)/(2) * 10\\ \\ V=105 cm^3`

Therefore, the volume of the right prism is 105 cubic centimeters.