Question

The volume, V, of a pyramid with a rectangular base is given by the formula,

V=13lwh

where l is the length of the base, w is the width of the base, and h is the vertical height of the pyramid.

Which expression represents the value of h in terms of V, l, and w?

A. h=3lwV

B. h=3Vlw

C. h=3lwV

D. h=lw3V

E. h=V3lw

Answer 1

Answer:

B

Step-by-step explanation:

V=1/3(lwh)

3V=lwh

3V=h(lw)

3V/lw=(h(lw))/lw

3V/lw=h

h=3V/lw

Answer 2

The expression which represents the value of height of pyramid h in terms of volume (V), length (l), and width (w) of pyramid is 3V/lw.

What is the volume of a pyramid?

The volume, V, of a pyramid with a rectangular base is given by the formula,

$V=\dfrac{1}{3}lwh$

Here l is the length of the base, w is the width of the base, and h is the vertical height of the pyramid.

Solve the equation to isolate the variable h,

$V=\dfrac{1}{3}lwh\\3V=lwh\\lwh=3V\\h=\dfrac{3V}{lw}$

Thus, the expression which represents the value of height of pyramid h in terms of volume (V), length (l), and width (w) of pyramid is 3V/lw.

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