What is the volume of the prism?

67 ½ units³ or 135/2 units³

Step-by-step explanation:

Volume = Base area × height

In case:

width is 6 the height is 4 1/2 and the length is 2 1/2

2 ½ = 5/2

4 ½ = 9/2

Volume = (6 × 5/2) × 9/2

= 15 × 9/2

= 135/2

= 67 ½ units³

We can use the volume formula for a cube/rectangular prism to solve.

V = w * h * l

Turn all the fractions into improper fractions and find common denominators.

4 1/2 = 9/2

2 1/2 = 5/2

6 = 12/2

Multiply.

9/2 * 5/2 * 12/2

45/4 * 12/2

540/8

67 1/2

We can write the answer in 3 ways if necessary.

67 1/2, 135/2, or 67.5

Best of Luck!

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

no idea

step-by-step explanation: