Question

If the volume of a prism is 64, its length 4, and its width 2, what is its height

Answer 1

h=8

Explanation:

there is a formula for a volume of a prism

Volume = length • width • height

for shortening purposes

V = L • W • H

we know the prism's length is 4, and it's width is 2 and we know it's volume is 64 but the height is missing

what we will do is say (since height is missing)

`h = (V)/(l \: • \: w)`

v = 64

l = 4

w = 2

so, now plug in those values for your variables

`h = (64)/(4 \: • \: 2)`

multiply 4 • 2

`h = (64)/(8)`

divide by 8

`h = (8)/(1)`

simplify

`h = 8`

Check:

V = l•w•h

v= 4 • 2 • 8

v = 8• 8

v = 64

hope this helped happy learning