An oblique prism has trapezoid bases and a vertical height of 10 units. Which expression represents the volume of the prism ?

Question

asked Jan 28, 2020 187k views

2 Answers

Noonand · Answer 1 · 2020-02-02T22:16:25+0000

Answer:

15x^2 cubic units

Explanation:

The options of the question are

10x3 cubic units

15x2 cubic units

20x3 cubic units

30x2 cubic units

see the attached figure to better understand the problem

we know that

The volume of the prism is equal to

V=BH

where

B is the area of the base (trapezoid)

H is the height of the prim

Determine the area of the base B

The area of a trapezoid is

B=(1)/(2)(x+2x)x

$B=1.5x^2\ units^2$

we have

$H=10\ units$ ----> is the perpendicular distance from the bases

substitute

$V=1.5x^2(10)=15x^2\ units^3$