You have a rectangular prism as shown below. Its height is 7 cm, its width is 4 cm, the length is 3 cm. How would we calculate this volume?

9514 1404 393

  84 cm³

Step-by-step explanation:

There are formulas for the volumes of simple geometric solids: prism, cylinder, pyramid, cone, frustum of a pyramid or cone.

The formula for the volume of a rectangular prism is ...

  V = LWH . . . . . product of Length, Width, and Height

Put the numbers in place of the corresponding variables and do the arithmetic.

  V = (3 cm)(4 cm)(7 cm) = 84 cm³

The volume of this rectangular prism is 84 cubic centimeters.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560