Question

Using v = lwh, what is an expression for the volume of the following prism?

A.the dimensions of a prism are shown.
B.the height is startfraction 2 d minus 6 over 2 d minus 4 endfraction.
C.the width is startfraction 4 over d minus 4 endfraction.
D.the length is startfraction d minus 2 over 3 d minus 9 endfraction.

Answer 1

The student needs an expression for the volume (V) of a prism using the given dimensions for length, width, and height. The expression is obtained by multiplying these dimensions together: V = (2d - 6)/(2d - 4) * 4/(d - 4) * (d - 2)/(3d - 9).

Step-by-step explanation:

The student asks for an expression for the volume of a prism using the formula v = lwh, with given dimensions for length (l), width (w), and height (h). To find the volume expression for the prism, we need to multiply the provided dimensions:

• Height (h): \(\frac{2d - 6}{2d - 4}\)
• Width (w): \(\frac{4}{d - 4}\)
• Length (l): \(\frac{d - 2}{3d - 9}\)

Therefore, the volume (V) of the prism is found by multiplying these expressions:

V =\(\(\frac{2d - 6}{2d - 4}\)\) \times \(\(\frac{4}{d - 4}\)\) \times \(\(\frac{d - 2}{3d - 9}\)\)