Aright rectangular prism is 10 1/2 m wide, 15 1/2 m long, and 3 m tall. what is the volume of the prism?
a- 46 1/2 m³ b- 162 3/4m³ c- 488 1/4 m³ d- 528 m³

Option C is correct

Step-by-step explanation:

Volume(V) of a right rectangular prism is given by:

where

l is the length, w is the width and h is the height of the prism respectively.

as per the statement:

A right rectangular prism is 10 1/2 m wide, 15 1/2 m long, and 3 m tall.

⇒, and h = 3m

Substitute these in [1] we get;

Therefore, the volume of the prism is,

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.