Question

Complete the explanation for the two formulas you can use to find the volume of a rectangular prism, and why the formulas are equivalent.


V = lwh and V = Bh
The area of the (top/side/base) is really lw (length times width), and since both B and lw are multiplied by (length/height/width), the two are equivalent.

Answer 1

@AZ

Answer 2

we're talking about a rectangular prism

the base is going to be a rectangle

what is the area of a rectangle?

Answer 3

The base?

Answer 4

yes, do you see how the base is a rectangle?

what is the area of a rectangle

Answer 5

do you know that

area of rectangle = length * width

Answer 6

Yes. I do

Answer 7

@AZ ?

Answer 8

So can you figure out what the first part of the sentence is?

The area of the (top/side/base) is really lw (length times width)

Answer 9

The area of the base is really l x w

Answer 10

exactly!

and what are we multiplying l and w with?

is it being multiplied by the length, width, or height?

Answer 11

Height?

Answer 12

You got it!

Answer 13

I got a 100%

Answer 14

!!!

Answer 15

Wonderful! :D