Question

A shipping carton for a rolled-up poster has the shape of a triangular prism. Each end of the carton is a triangle with a base 6 inches long and a height of 5 inches. The length of the carton is 32 inches.

What is the volume of the carton?
A. 43 in3
B. 86 in3
C. 240 in3
D. 480 in3

Answer 1

@Pawtpie please help

Answer 2

hmm so I'm imagining a very tall and narrow pyramid like triangular prism carton.

Answer 3

yea

Answer 4

ah but the bases are triangles so not like a pyramid then

Answer 5

ok more pease

Answer 6

Okay so:

Answer 7

c

Answer 8

It will look like this on the side

Answer 9

So now we just have to find the volume of a triangular prism

Answer 10

so how would I find volume

Answer 11

hmm looking for the formula, can't seem to remember

Answer 12

Okay

Answer 13

So it looks like we need the area of the triangle and then we multiply by the length of the prism

Answer 14

Do you remember the formula for the area of a triangle?

Answer 15

no I don't
sorry

Answer 16

Okay, there's actually 2 ways to solve this

Answer 17

The area of a triangle is \[1/2 * b * h\]

Answer 18

It's just the base times the height divided by 2

Answer 19

So since the base is 6 and the height is 5 the area for the triangle is!

Answer 20

15

Answer 21

Corrrrect

Answer 22

Now that we have the area of the triangle, the length of the prism is 32 inches

Answer 23

So the area of the triangle (15 inches) times 32 inches should be the volume

Answer 24

480

Answer 25

d

Answer 26

That should be it, but really quick do you know the volume of a simple cube?

Answer 27

no

Answer 28

How about a square

Answer 29

This would just be area

Answer 30

none of them

Answer 31

So this is a square

Answer 32

To find the area simply get: length times height

Answer 33

Remember how the area of a triangle is 1/2 of this length times height?

Answer 34

can u help with one more?